# How do you simplify 9sqrt2 + sqrt32?

Feb 13, 2016

I found $13 \sqrt{2}$

#### Explanation:

We can manipulate the second root and write:
$9 \sqrt{2} + \sqrt{2 \cdot 16} =$
$= 9 \sqrt{2} + \left[\sqrt{2} \cdot \sqrt{16}\right] =$
$= 9 \sqrt{2} + 4 \sqrt{2} =$
$= 13 \sqrt{2}$

Feb 13, 2016

$13 \sqrt{2}$

#### Explanation:

to begin , simplify $\sqrt{32}$

32 may be written as 16$\times 2$

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

hence $\sqrt{32} = \sqrt{16 \times 2} = \sqrt{16} \times \sqrt{2} = 4 \sqrt{2}$

expression can now be written : $9 \sqrt{2} + 4 \sqrt{2} = 13 \sqrt{2}$