Hi,

Can we not take 2(2)^1/2 - 2 as underroot2?

I am getting D as an answer if I do so.

You mean

2\sqrt{2} - 2 = \sqrt{2}

Is that right?

Yes

That’s not correct.

2\sqrt{2} - 2

=2(\sqrt{2} - 1)

This is not equal to \sqrt{2}.

In particular, this is usually the case:

a\sqrt{2} - b \neq (a - b)\sqrt{2}