# How do you simplify #sqrt(32a^7b^4 )#?

##### 1 Answer

Oct 9, 2015

#### Answer:

#### Explanation:

Since everything under the square root is being multiplied, we can take out things that are squares. Let's break things up one piece at a time:

The

#sqrt(a^7)#

#a^6*a = a^7#

#a^3sqrt(a) = sqrt(a^7)#

The

#sqrt(b^4)#

#b^2 = sqrt(b^4)#

The constant (32):

#sqrt(16*2) = sqrt(32)#

#4sqrt(2) = sqrt(32)#

Now we multiply everything together in order to get our answer.