Question

How do you simplify `9sqrt2 + sqrt32`?

Answer 1

I found `13sqrt(2)`

Explanation:

We can manipulate the second root and write:
`9sqrt(2)+sqrt(2*16)=`
`=9sqrt(2)+[sqrt(2)*sqrt(16)]=`
`=9sqrt(2)+4sqrt(2)=`
add:
`=13sqrt(2)`

Answer 2

`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`