# What is #3sqrt(8^2)# ?

##### 3 Answers

Aug 31, 2017

#### Explanation:

We need to find

Aug 31, 2017

#### Explanation:

Assuming the intended expression was

#root(3)(8^2) = root(3)((2^3)^2) = root(3)((2^2)^3) = 2^2 = 4#

Aug 31, 2017

Assuming

#root3(8^2)=8^(2/3)=(2^3)^(2/3)=2^2=4#

This used:

#rootb(x^a)=x^(a/b)# #(x^a)^b=x^(ab)#

And the ability to prime factorize, that is, know that