# How do you simplify the cubed root of 40?

Oct 8, 2015

#### Answer:

$2 \sqrt[3]{5}$

#### Explanation:

40 can be divided into multiple factors, 20 and 2, 8 and 5, 4 and 10, etc.

We would prefer to have one of the factors be a perfect cube, in other words it should be an easy number to cube root. That number, in the case of 40, is 8. We can then break up the cube root into:

$\sqrt[3]{\left(8\right) \left(5\right)}$

From here we are able to extract the 8, which puts a 2 outside of the root, and leaves the 5 inside the root. It will look like the following:

$2 \sqrt[3]{5}$

This is the answer, in order to check this, we can use a calculator to calculate the cube root of 40 and 2 times the cube root of 5.

I hope this helps!