Question

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

Answer 1

`=20sqrt2`

Explanation:

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`