Question

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

Answer 1

`7 [sqrt{2}]`

Explanation:

Both 5 and 2 have [`sqrt2`] attached to it, so you can easily add them to get 7[`sqrt2`].

Answer 2

`7sqrt(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 `5a+2a`. You are putting 2 of something with 5 of the same thing. So you end up with 7 of that something.

So `" "5sqrt(2)+2sqrt(2) = 7 sqrt(2)`

Answer 3

`7sqrt2`

Explanation:

`5` somethings plus `2` somethings is `7` somethings, no matter what those somethings are, so

`5sqrt2+2sqrt2=7sqrt2`