Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

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

The correct answer is: Make the terms similar and then add

Complete step by step solution:
Here we can write, $2 cube root of 4 equals 2 cross times 4 to the power of 1 third end exponent 7 cubed cube root of 32 equals 7 cross times 32 to the power of 1 third end exponent$ , and $cube root of 500 equals 500 to the power of 1 third end exponent$
This can be written as $2 cross times 2 to the power of 2 to the power of 1 third end exponent end exponent comma 7 cross times 2 to the power of 5 to the power of 1 third end exponent end exponent$ , and $open parentheses 2 squared cross times 5 cubed close parentheses to the power of 1 third end exponent$
So, $2 cube root of 4 plus 7 cube root of 32 minus cube root of 500 equals 2 cross times 2 to the power of 2 over 3 end exponent plus 7 cross times 2 to the power of 5 over 3 end exponent minus 5 cross times 2 to the power of 2 over 3 end exponent$
Taking common term $2 to the power of 2 over 3 end exponent$ outside, we have $2 to the power of 2 over 3 end exponent open parentheses 2 plus 7 cross times 2 to the power of 3 over 3 end exponent minus 5 close parentheses$
$2 to the power of 2 over 3 end exponent left parenthesis 2 plus 7 cross times 2 minus 5 right parenthesis$
$not stretchy rightwards double arrow 2 to the power of 2 over 3 end exponent left parenthesis 11 right parenthesis horizontal ellipsis$

Related Questions to study

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...............

parallel

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 ?

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 ?
$fraction numerator negative 10 over denominator 11 end fraction comma fraction numerator 19 over denominator negative 22 end fraction comma fraction numerator negative 23 over denominator 33 end fraction comma fraction numerator negative 39 over denominator 44 end fraction$

parallel

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 : $fraction numerator 3 over denominator negative 5 end fraction comma fraction numerator negative 7 over denominator 10 end fraction comma fraction numerator negative 11 over denominator 15 end fraction comma fraction numerator negative 13 over denominator 20 end fraction$

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 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: $fraction numerator negative 4 over denominator 9 end fraction comma fraction numerator negative 5 over denominator 12 end fraction comma fraction numerator negative 7 over denominator 18 end fraction comma fraction numerator negative 2 over denominator 3 end fraction$

parallel

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 ?

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 .
$fraction numerator straight x to the power of 4 plus straight x cubed minus 30 straight x squared over denominator straight x squared minus 3 straight x minus 18 end fraction divided by fraction numerator straight x cubed plus straight x squared minus 30 straight x over denominator straight x squared minus 36 end fraction$

parallel

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 ?

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.