# How do you simplify #root4 (40)#?

##### 2 Answers

Sep 18, 2017

#### Explanation:

By calculator

Sep 18, 2017

About the most you can do is:

#root(4)(40) = sqrt(2sqrt(10))#

#### Explanation:

The prime factorisation of

#40 = 2*2*2*5#

Since there are no

It is possible to move one factor "half way" out, since we do have a square factor.

So we find:

#root(4)(40) = sqrt(sqrt(2^2*10)) = sqrt(sqrt(2^2)*sqrt(10)) = sqrt(2sqrt(10))#