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

3 Answers
Apr 16, 2016

7 [sqrt{2}]

Explanation:

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

Apr 16, 2016

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)

Apr 16, 2016

7sqrt2

Explanation:

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

5sqrt2+2sqrt2=7sqrt2