# How do you simplify 5[sqrt2] + 2[sqrt 2]?

Apr 16, 2016

$7 \left[\sqrt{2}\right]$

#### Explanation:

Both 5 and 2 have [$\sqrt{2}$] attached to it, so you can easily add them to get 7[$\sqrt{2}$].

Apr 16, 2016

$7 \sqrt{2}$

#### Explanation:

As there is only 1 thing inside each of the brackets and no operation is carried out on the bracket, apart from counting them, the brackets may as well not be there!

Compare to $5 a + 2 a$. You are putting 2 of something with 5 of the same thing. So you end up with 7 of that something.

So $\text{ } 5 \sqrt{2} + 2 \sqrt{2} = 7 \sqrt{2}$

Apr 16, 2016

$7 \sqrt{2}$
$5$ somethings plus $2$ somethings is $7$ somethings, no matter what those somethings are, so
$5 \sqrt{2} + 2 \sqrt{2} = 7 \sqrt{2}$