Question

how to rewrite sqrt(2-sqrt(2)) * sqrt(2)?

Answer 1

\(\bf \sqrt{2-\sqrt{2}} \times \sqrt{2}\)

same roots multiply their content, so do that :)

Answer 2

sqrt(4-sqrt(4))? :$

Answer 3

\(\bf \sqrt{2-\sqrt{2}} \times \sqrt{2} \implies \sqrt{(2-\sqrt{2})\sqrt{2}}\)

Answer 4

well, that's not ... hold on

Answer 5

\(\bf \sqrt{2-\sqrt{2}} \times \sqrt{2} \implies \sqrt{(2-\sqrt{2})2}\)

Answer 6

\[\sqrt{4-4\sqrt{2}} \] then? How would I simplify that further?

Answer 7

well, 2 times 2 is 4, yes
but \(\bf 2 \sqrt{2}\) is not \(\bf 4\sqrt{2}\)

Answer 8

oh whoops! Yeah, my bad, lol.

Answer 9

\(\bf 2 \times \sqrt{2}\) is just \(\bf 2\sqrt{2}\)

Answer 10

and you can't simplify it further

Answer 11

ah alright, thanks.

Answer 12

yw