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

Question

1107 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-17T14:25:25

$=20sqrt2$

It will help to realise that $sqrt2$ can be used as like terms.

In the same way that $2 xx 7 + 3 xx 7$ can be written as $5 xx 7$ ,
$2sqrt2 + 3sqrt2= 5sqrt2$

$4(2sqrt2 + 3sqrt2) = 4(5sqrt2)$

$=20sqrt2$

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