# How do you simplify sqrt18 + sqrt8 - sqrt32?

Feb 13, 2016

First, we can simplify each individual radical.

$\sqrt{18} = \sqrt{9 \cdot 2} = 3 \sqrt{2}$
$\sqrt{8} = \sqrt{4 \cdot 2} = 2 \sqrt{2}$
$\sqrt{32} = \sqrt{16 \cdot 2} = 4 \sqrt{2}$

So now we have:

$3 \sqrt{2} + 2 \sqrt{2} - 4 \sqrt{2}$

Since these have the same radicals, we can add and subtract them as we do with variables.

$5 \sqrt{2} - 4 \sqrt{2}$

$\sqrt{2}$