# How do you evaluate 5\sqrt { 2} + 6\sqrt { 2} - 5\sqrt { 2}?

Nov 22, 2017

$6 \sqrt{2}$ or about $8.485$

#### Explanation:

I'm not sure whether you want the answer in radical form (i.e. $6 \sqrt{2}$) or decimal form (i.e $8.48528137424$)

$5 \sqrt{2} + 6 \sqrt{2} - 5 \sqrt{2}$

First of all, we have a $5 \sqrt{2}$ and a $- 5 \sqrt{2}$, meaning that they cancel out.
$\cancel{5 \sqrt{2}} + 6 \sqrt{2} \cancel{- 5 \sqrt{2}}$

So what we have left is just a $6 \sqrt{2}$.

If you want this evaluated into decimal, you can just plug it into a calculator and you get around $8.485$ (rounded to the thousandth's place)