# How do you simplify #9sqrt2 + sqrt32#?

##### 2 Answers

Feb 13, 2016

I found

#### Explanation:

We can manipulate the second root and write:

add:

Feb 13, 2016

#13sqrt2 #

#### Explanation:

to begin , simplify

# sqrt32 # 32 may be written as 16

# xx 2# when simplifying , look for factors which are 'squares' as 16 is.

hence

#sqrt32 = sqrt(16 xx 2 ) = sqrt16 xxsqrt2 = 4sqrt2# expression can now be written :

# 9sqrt2 + 4sqrt2 = 13sqrt2 #