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General

Easy

Question

Which is greater ?
$root index 6 of 3 comma space fourth root of 5 comma space square root of 2$

hint Hint:

Use LCM property

The correct answer is: Use LCM property

Complete step by step solution:
Here we can write, $square root of 2 equals 2 to the power of 1 half end exponent comma root index 6 of 3 equals 3 to the power of 1 over 6 end exponent$ and $fourth root of 5 equals 5 to the power of 1 fourth end exponent$
On taking the LCM of 2,6,4 we have LCM as 12.
So, $not stretchy rightwards double arrow 2 to the power of 1 half end exponent equals 2 to the power of fraction numerator 1 cross times 6 over denominator 2 cross times 6 end fraction end exponent equals 2 to the power of 6 over 12 end exponent$
$not stretchy rightwards double arrow open parentheses 2 to the power of 6 close parentheses to the power of 1 over 12 end exponent equals 64 to the power of 1 over 12 end exponent$ (Since ) $open parentheses a to the power of b close parentheses to the power of c equals a to the power of b c end exponent$
Likewise, $not stretchy rightwards double arrow 3 to the power of 1 over 6 end exponent equals 3 to the power of fraction numerator 1 cross times 2 over denominator 6 cross times 2 end fraction end exponent equals 3 to the power of 2 over 12 end exponent$
$not stretchy rightwards double arrow open parentheses 3 squared close parentheses to the power of 1 over 12 end exponent equals 9 to the power of 1 over 12 end exponent$ (Since $open open parentheses a to the power of b close parentheses to the power of c equals a to the power of b c end exponent close parentheses$
Likewise, $5 to the power of 1 fourth end exponent equals 5 to the power of fraction numerator 1 cross times 3 over denominator 4 cross times 3 end fraction end exponent equals 5 to the power of 3 over 12 end exponent$
$not stretchy rightwards double arrow open parentheses 5 cubed close parentheses to the power of 1 over 12 end exponent equals 125 to the power of 1 over 12 end exponent$ (Since ) $open open parentheses a to the power of b close parentheses to the power of c equals a to the power of b c end exponent close parentheses$
Now, we have $64 to the power of 1 over 12 end exponent comma space 9 to the power of 1 over 12 end exponent$ and $125 to the power of 1 over 12 end exponent$
So, here $125 greater than 64 greater than 9$
$not stretchy rightwards double arrow 125 to the power of 1 over 12 end exponent greater than 64 to the power of 1 over 12 end exponent greater than 9 to the power of 1 over 12 end exponent$
$not stretchy rightwards double arrow fourth root of 5$ is greater

Arrange the following from least to greatest :
0.1666666666...... , 1.66666666666.......... , 1.388888888888...............

Maths-General

General

Maths-

Simplify $4 over 7 plus fraction numerator negative 8 over denominator 9 end fraction plus fraction numerator negative 5 over denominator 21 end fraction plus 1 third$

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General

Maths-

The sum of two rational numbers is -8. If one of them is - $13 over 6$ , find the other ?

Maths-General

General
Maths-
Arrange from greatest to least ?
$fraction numerator negative 10 over denominator 11 end fraction comma fraction numerator 19 over denominator negative 22 end fraction comma fraction numerator negative 23 over denominator 33 end fraction comma fraction numerator negative 39 over denominator 44 end fraction$
Arrange from greatest to least ?
$fraction numerator negative 10 over denominator 11 end fraction comma fraction numerator 19 over denominator negative 22 end fraction comma fraction numerator negative 23 over denominator 33 end fraction comma fraction numerator negative 39 over denominator 44 end fraction$
Maths-General
General
Maths-
Arrange from least to greatest : $fraction numerator 3 over denominator negative 5 end fraction comma fraction numerator negative 7 over denominator 10 end fraction comma fraction numerator negative 11 over denominator 15 end fraction comma fraction numerator negative 13 over denominator 20 end fraction$
Arrange from least to greatest : $fraction numerator 3 over denominator negative 5 end fraction comma fraction numerator negative 7 over denominator 10 end fraction comma fraction numerator negative 11 over denominator 15 end fraction comma fraction numerator negative 13 over denominator 20 end fraction$
Maths-General
General
Maths-
An orange crate is in the shape of a rectangular prism . It has a volume of $3 x cubed plus 7 x squared plus 2 x$ cubic units and has a base area of $x squared plus 2 x$ square units. Find the height of the orange crate ?.
An orange crate is in the shape of a rectangular prism . It has a volume of $3 x cubed plus 7 x squared plus 2 x$ cubic units and has a base area of $x squared plus 2 x$ square units. Find the height of the orange crate ?.
Maths-General
General
Maths-
Arrange the following rational numbers in descending order: $fraction numerator negative 4 over denominator 9 end fraction comma fraction numerator negative 5 over denominator 12 end fraction comma fraction numerator negative 7 over denominator 18 end fraction comma fraction numerator negative 2 over denominator 3 end fraction$
Arrange the following rational numbers in descending order: $fraction numerator negative 4 over denominator 9 end fraction comma fraction numerator negative 5 over denominator 12 end fraction comma fraction numerator negative 7 over denominator 18 end fraction comma fraction numerator negative 2 over denominator 3 end fraction$
Maths-General
General
Maths-
Arrange from least to greatest : $fraction numerator negative 3 over denominator 5 end fraction comma space fraction numerator negative 7 over denominator 10 end fraction comma space fraction numerator negative 5 over denominator 8 end fraction$
Arrange from least to greatest : $fraction numerator negative 3 over denominator 5 end fraction comma space fraction numerator negative 7 over denominator 10 end fraction comma space fraction numerator negative 5 over denominator 8 end fraction$
Maths-General
General
Maths-
The product of two rational numbers is $13 over 5$ . If one of the number is $fraction numerator negative 3 over denominator 4 end fraction$ , find the other rational number ?
The product of two rational numbers is $13 over 5$ . If one of the number is $fraction numerator negative 3 over denominator 4 end fraction$ , find the other rational number ?
Maths-General
General
Maths-
Find the Quotient and the domain .
$fraction numerator straight x to the power of 4 plus straight x cubed minus 30 straight x squared over denominator straight x squared minus 3 straight x minus 18 end fraction divided by fraction numerator straight x cubed plus straight x squared minus 30 straight x over denominator straight x squared minus 36 end fraction$
Find the Quotient and the domain .
$fraction numerator straight x to the power of 4 plus straight x cubed minus 30 straight x squared over denominator straight x squared minus 3 straight x minus 18 end fraction divided by fraction numerator straight x cubed plus straight x squared minus 30 straight x over denominator straight x squared minus 36 end fraction$
Maths-General
General
Maths-
What is the Quotient of $fraction numerator x squared plus x minus 2 over denominator x plus 3 end fraction straight & fraction numerator x squared plus 3 x minus 4 over denominator 2 x plus 6 end fraction$ .
What is the Quotient of $fraction numerator x squared plus x minus 2 over denominator x plus 3 end fraction straight & fraction numerator x squared plus 3 x minus 4 over denominator 2 x plus 6 end fraction$ .
Maths-General
General
Maths-
The cost of 4.25 m of cloth is 38.25. Find the cost of cloth per meter ?
The cost of 4.25 m of cloth is 38.25. Find the cost of cloth per meter ?
Maths-General
General
Maths-
If $5 over 7$ of a number exceeds its $3 over 5$ by 8 , find the number ?
If $5 over 7$ of a number exceeds its $3 over 5$ by 8 , find the number ?
Maths-General
General
Maths-
Taylor uses tape to mark a square play area in the basement for her daughter. The area measures 28 sq.ft . Is the side length of the square rational or irrational ? Explain.
Taylor uses tape to mark a square play area in the basement for her daughter. The area measures 28 sq.ft . Is the side length of the square rational or irrational ? Explain.
Maths-General
General
Maths-
The Approximate annual interest rate r of a monthly installment loan is given by the formula:
$r equals fraction numerator fraction numerator 24 left parenthesis n m minus p right parenthesis over denominator n end fraction over denominator open parentheses p plus fraction numerator n m over denominator 12 end fraction close parentheses end fraction$
Where n is the total number of payments , m is the monthly payment and p is the amount financed.
Find the approximate annual interest rate for a five year auto loan of $40,000 that has monthly payments of $750.
The Approximate annual interest rate r of a monthly installment loan is given by the formula:
$r equals fraction numerator fraction numerator 24 left parenthesis n m minus p right parenthesis over denominator n end fraction over denominator open parentheses p plus fraction numerator n m over denominator 12 end fraction close parentheses end fraction$
Where n is the total number of payments , m is the monthly payment and p is the amount financed.
Find the approximate annual interest rate for a five year auto loan of $40,000 that has monthly payments of $750.
Maths-General

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Can’t find what you’re looking for?

Which is greater ?
$root index 6 of 3 comma space fourth root of 5 comma space square root of 2$

Use LCM property

The correct answer is: Use LCM property

Related Questions to study

Arrange the following from least to greatest :
0.1666666666...... , 1.66666666666.......... , 1.388888888888...............

Arrange the following from least to greatest :
0.1666666666...... , 1.66666666666.......... , 1.388888888888...............

Simplify $4 over 7 plus fraction numerator negative 8 over denominator 9 end fraction plus fraction numerator negative 5 over denominator 21 end fraction plus 1 third$

Simplify $4 over 7 plus fraction numerator negative 8 over denominator 9 end fraction plus fraction numerator negative 5 over denominator 21 end fraction plus 1 third$

The sum of two rational numbers is -8. If one of them is - $13 over 6$ , find the other ?

The sum of two rational numbers is -8. If one of them is - $13 over 6$ , find the other ?

An orange crate is in the shape of a rectangular prism . It has a volume of $3 x cubed plus 7 x squared plus 2 x$ cubic units and has a base area of $x squared plus 2 x$ square units. Find the height of the orange crate ?.

An orange crate is in the shape of a rectangular prism . It has a volume of $3 x cubed plus 7 x squared plus 2 x$ cubic units and has a base area of $x squared plus 2 x$ square units. Find the height of the orange crate ?.

Arrange from least to greatest : $fraction numerator negative 3 over denominator 5 end fraction comma space fraction numerator negative 7 over denominator 10 end fraction comma space fraction numerator negative 5 over denominator 8 end fraction$

Arrange from least to greatest : $fraction numerator negative 3 over denominator 5 end fraction comma space fraction numerator negative 7 over denominator 10 end fraction comma space fraction numerator negative 5 over denominator 8 end fraction$

The product of two rational numbers is $13 over 5$ . If one of the number is $fraction numerator negative 3 over denominator 4 end fraction$ , find the other rational number ?

The product of two rational numbers is $13 over 5$ . If one of the number is $fraction numerator negative 3 over denominator 4 end fraction$ , find the other rational number ?

What is the Quotient of $fraction numerator x squared plus x minus 2 over denominator x plus 3 end fraction straight & fraction numerator x squared plus 3 x minus 4 over denominator 2 x plus 6 end fraction$ .

What is the Quotient of $fraction numerator x squared plus x minus 2 over denominator x plus 3 end fraction straight & fraction numerator x squared plus 3 x minus 4 over denominator 2 x plus 6 end fraction$ .

The cost of 4.25 m of cloth is 38.25. Find the cost of cloth per meter ?

The cost of 4.25 m of cloth is 38.25. Find the cost of cloth per meter ?

If $5 over 7$ of a number exceeds its $3 over 5$ by 8 , find the number ?

If $5 over 7$ of a number exceeds its $3 over 5$ by 8 , find the number ?

Taylor uses tape to mark a square play area in the basement for her daughter. The area measures 28 sq.ft . Is the side length of the square rational or irrational ? Explain.

Taylor uses tape to mark a square play area in the basement for her daughter. The area measures 28 sq.ft . Is the side length of the square rational or irrational ? Explain.

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Can’t find what you’re looking for?

Which is greater ?

Use LCM property

The correct answer is: Use LCM property

Complete step by step solution: Here we can write, and On taking the LCM of 2,6,4 we have LCM as 12.So, (Since ) Likewise, (Since Likewise, (Since ) Now, we have and So, here is greater

Related Questions to study

Arrange the following from least to greatest : 0.1666666666...... , 1.66666666666.......... , 1.388888888888...............

Arrange the following from least to greatest : 0.1666666666...... , 1.66666666666.......... , 1.388888888888...............

Simplify

Simplify

The sum of two rational numbers is -8. If one of them is -, find the other ?

The sum of two rational numbers is -8. If one of them is -, find the other ?

Arrange from greatest to least ?

Arrange from greatest to least ?

Arrange from least to greatest :

Arrange from least to greatest :

An orange crate is in the shape of a rectangular prism . It has a volume of cubic units and has a base area of square units. Find the height of the orange crate ?.

An orange crate is in the shape of a rectangular prism . It has a volume of cubic units and has a base area of square units. Find the height of the orange crate ?.

Arrange the following rational numbers in descending order:

Arrange the following rational numbers in descending order:

Arrange from least to greatest :

Arrange from least to greatest :

The product of two rational numbers is . If one of the number is , find the other rational number ?

The product of two rational numbers is . If one of the number is , find the other rational number ?

Find the Quotient and the domain .

Find the Quotient and the domain .

What is the Quotient of .

What is the Quotient of .

The cost of 4.25 m of cloth is 38.25. Find the cost of cloth per meter ?

The cost of 4.25 m of cloth is 38.25. Find the cost of cloth per meter ?

If of a number exceeds its by 8 , find the number ?

If of a number exceeds its by 8 , find the number ?

Taylor uses tape to mark a square play area in the basement for her daughter. The area measures 28 sq.ft . Is the side length of the square rational or irrational ? Explain.

Taylor uses tape to mark a square play area in the basement for her daughter. The area measures 28 sq.ft . Is the side length of the square rational or irrational ? Explain.

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Which is greater ?
$root index 6 of 3 comma space fourth root of 5 comma space square root of 2$

Arrange the following from least to greatest :
0.1666666666...... , 1.66666666666.......... , 1.388888888888...............

Arrange the following from least to greatest :
0.1666666666...... , 1.66666666666.......... , 1.388888888888...............

Simplify $4 over 7 plus fraction numerator negative 8 over denominator 9 end fraction plus fraction numerator negative 5 over denominator 21 end fraction plus 1 third$

Simplify $4 over 7 plus fraction numerator negative 8 over denominator 9 end fraction plus fraction numerator negative 5 over denominator 21 end fraction plus 1 third$

The sum of two rational numbers is -8. If one of them is - $13 over 6$ , find the other ?

The sum of two rational numbers is -8. If one of them is - $13 over 6$ , find the other ?

An orange crate is in the shape of a rectangular prism . It has a volume of $3 x cubed plus 7 x squared plus 2 x$ cubic units and has a base area of $x squared plus 2 x$ square units. Find the height of the orange crate ?.

An orange crate is in the shape of a rectangular prism . It has a volume of $3 x cubed plus 7 x squared plus 2 x$ cubic units and has a base area of $x squared plus 2 x$ square units. Find the height of the orange crate ?.

Arrange from least to greatest : $fraction numerator negative 3 over denominator 5 end fraction comma space fraction numerator negative 7 over denominator 10 end fraction comma space fraction numerator negative 5 over denominator 8 end fraction$

Arrange from least to greatest : $fraction numerator negative 3 over denominator 5 end fraction comma space fraction numerator negative 7 over denominator 10 end fraction comma space fraction numerator negative 5 over denominator 8 end fraction$

The product of two rational numbers is $13 over 5$ . If one of the number is $fraction numerator negative 3 over denominator 4 end fraction$ , find the other rational number ?

The product of two rational numbers is $13 over 5$ . If one of the number is $fraction numerator negative 3 over denominator 4 end fraction$ , find the other rational number ?

What is the Quotient of $fraction numerator x squared plus x minus 2 over denominator x plus 3 end fraction straight & fraction numerator x squared plus 3 x minus 4 over denominator 2 x plus 6 end fraction$ .

What is the Quotient of $fraction numerator x squared plus x minus 2 over denominator x plus 3 end fraction straight & fraction numerator x squared plus 3 x minus 4 over denominator 2 x plus 6 end fraction$ .

If $5 over 7$ of a number exceeds its $3 over 5$ by 8 , find the number ?

If $5 over 7$ of a number exceeds its $3 over 5$ by 8 , find the number ?