Question

Please Confirm my answer! I don't know if this is the correct choice:

Which choice is equivalent to the fraction below? (Hint: Rationalize the denominator and simplify.)

Answer 1

first of all, your choice is wrong

Answer 2

That's what I wanted to know, please help me! D:

Answer 3

how did you get that answer? can you explain?

Answer 4

Not really:/

Answer 5

you know how to rationalize right?

Answer 6

aim of rationalization is to get rid of that square root sign in the denominator

Answer 7

so, first thing you will observe that you can cancel out 2 as common factor in numerator and denominator

Answer 8

Well okay...

Answer 9

\[(2-2\sqrt{2})/(2+2\sqrt{2})=(1-\sqrt{2})/(1+\sqrt{2})\]

Answer 10

now, our aim is to get rid of that square root sign in the denominator, so you multiply both numerator and denominator by \[\sqrt{2}-1\]

Answer 11

so, the equivalent fraction will be:\[(1-\sqrt{2})(\sqrt{2}-1)/(\sqrt{2}+1)(\sqrt{2}-1)\]

Answer 12

as (a+b)(a-b)=a^2-b^2, you will notice that the denominator value becomes 2-1=1
calculate the numerator and let me know what you get

Answer 13

-2(1-2√x)

Answer 14

I think I got it.