# How do you simplify 4(2sqrt2 + 3sqrt2)?

Jun 17, 2016

$= 20 \sqrt{2}$

#### Explanation:

It will help to realise that $\sqrt{2}$ can be used as like terms.

In the same way that $2 \times 7 + 3 \times 7$ can be written as $5 \times 7$,
$2 \sqrt{2} + 3 \sqrt{2} = 5 \sqrt{2}$

$4 \left(2 \sqrt{2} + 3 \sqrt{2}\right) = 4 \left(5 \sqrt{2}\right)$

$= 20 \sqrt{2}$