Maths-

General

Easy

Question

Arrange the following in descending order :
$cube root of 17 comma space square root of 12 comma space cube root of 21 comma space square root of 18$

The correct answer is: Use LCM property

Complete step by step solution:
Here we can write, $cube root of 17 equals 17 to the power of 1 third end exponent comma horizontal ellipsis square root of 12 equals 12 to the power of 1 half end exponent horizontal ellipsis cube root of 21 equals 21 to the power of 1 third end exponent$ , and $square root of 18 equals 18 to the power of 1 half end exponent$
On taking the LCM of 2,3 we have LCM as 6.
So, $not stretchy rightwards double arrow 17 to the power of 1 third end exponent equals 17 to the power of fraction numerator 1 cross times 2 over denominator 3 cross times 2 end fraction end exponent equals 17 to the power of 2 over 6 end exponent$
$not stretchy rightwards double arrow open parentheses 17 squared close parentheses to the power of 1 over 6 end exponent equals 289 to the power of 1 over 6 end exponent$ (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, $not stretchy rightwards double arrow 12 to the power of 1 half end exponent equals 12 to the power of fraction numerator 1 cross times 3 over denominator 2 cross times 3 end fraction end exponent equals 12 to the power of 3 over 6 end exponent horizontal ellipsis$
$not stretchy rightwards double arrow open parentheses 12 cubed close parentheses to the power of 1 over 6 end exponent equals 1728 to the power of 1 over 6 end exponent space of 1em open parentheses text Since end text open parentheses a to the power of b close parentheses to the power of c equals a to the power of b c end exponent close parentheses$ (Since )
Likewise, $21 to the power of 1 third end exponent equals 21 to the power of fraction numerator 1 cross times 2 over denominator 3 cross times 2 end fraction end exponent equals 21 to the power of 2 over 6 end exponent$
$not stretchy rightwards double arrow open parentheses 21 squared close parentheses to the power of 1 over 6 end exponent equals 441 to the power of 1 over 6 end exponent space of 1em open parentheses text Since end text open parentheses a to the power of b close parentheses to the power of c equals a to the power of b c end exponent close parentheses$
$not stretchy rightwards double arrow 18 to the power of 1 half end exponent equals 18 to the power of fraction numerator 1 cross times 3 over denominator 2 cross times 3 end fraction end exponent equals 18 to the power of 3 over 6 end exponent horizontal ellipsis$
$not stretchy rightwards double arrow open parentheses 18 cubed close parentheses to the power of 1 over 6 end exponent equals 5832 to the power of 1 over 6 end exponent space of 1em text Since end text open parentheses a to the power of b close parentheses to the power of c equals a to the power of b c end exponent$
Now, we have , $289 to the power of 1 over 6 end exponent comma 1728 to the power of 1 over 6 end exponent comma 441 to the power of 1 over 6 end exponent$ and $5832 to the power of 1 over 6 end exponent horizontal ellipsis$
So, here ascending order is $289 less than 441 less than 1728 less than 5832$
$not stretchy rightwards double arrow 289 to the power of 1 over 6 end exponent less than 441 to the power of 1 over 6 end exponent less than 1728 to the power of 1 over 6 end exponent less than 5832 to the power of 1 over 6 end exponent$
$not stretchy rightwards double arrow 17 to the power of 1 third end exponent less than 21 to the power of 1 third end exponent less than 12 to the power of 1 half end exponent less than 18 to the power of 1 half end exponent$
$not stretchy rightwards double arrow cube root of 17 less than cube root of 21 less than cube root of 12 less than fifth root of 18$

Order the following from least to greatest :
$11 over 15 comma fraction numerator negative 5 over denominator 6 end fraction comma 3 over 4 comma fraction numerator negative 7 over denominator 9 end fraction$

Maths-General

General

Maths-

Simplify $square root of 45 minus 3 square root of 20 plus 4 square root of 5$

Maths-General

General

Maths-

Simplify by combining similar terms:
$2 cube root of 4 plus 7 cube root of 32 minus cube root of 500$

Maths-General

General

Maths-

Arrange in ascending order of magnitude :
$square root of 5 comma space cube root of 11 comma 2 times root index 6 of 3$

Maths-General

General

Maths-

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

Maths-General

General

Maths-

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

Maths-General

General

Maths-

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

Maths-General

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

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Arrange the following in descending order :

The correct answer is: Use LCM property

Complete step by step solution:Here we can write, , and On taking the LCM of 2,3 we have LCM as 6.So, (Since ) Likewise, (Since )Likewise, Now, we have , and So, here ascending order is

Related Questions to study

Order the following from least to greatest :

Order the following from least to greatest :

Simplify

Simplify

Simplify by combining similar terms:

Simplify by combining similar terms:

Arrange in ascending order of magnitude :

Arrange in ascending order of magnitude :

Which is greater ?

Which is greater ?

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 .

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Arrange the following in descending order :
$cube root of 17 comma space square root of 12 comma space cube root of 21 comma space square root of 18$

Order the following from least to greatest :
$11 over 15 comma fraction numerator negative 5 over denominator 6 end fraction comma 3 over 4 comma fraction numerator negative 7 over denominator 9 end fraction$

Order the following from least to greatest :
$11 over 15 comma fraction numerator negative 5 over denominator 6 end fraction comma 3 over 4 comma fraction numerator negative 7 over denominator 9 end fraction$

Simplify $square root of 45 minus 3 square root of 20 plus 4 square root of 5$

Simplify $square root of 45 minus 3 square root of 20 plus 4 square root of 5$

Simplify by combining similar terms:
$2 cube root of 4 plus 7 cube root of 32 minus cube root of 500$

Simplify by combining similar terms:
$2 cube root of 4 plus 7 cube root of 32 minus cube root of 500$

Arrange in ascending order of magnitude :
$square root of 5 comma space cube root of 11 comma 2 times root index 6 of 3$

Arrange in ascending order of magnitude :
$square root of 5 comma space cube root of 11 comma 2 times root index 6 of 3$

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

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 ?