(sqrt 5)/(2 - sqrt 5)

Answer 1

√5/(2-√5) ??
what about it?

If you are rationalizing it, then

= √5/(2-√5) * (2+√5)/(2+√5)
= (2√5 + 5)/(4-5)
= -2√5 - 5

Answer 2

Thanks, but can you please verify how you got the (2√5 + 5)? Because I thought that √5 * (2+√5) would be 2√25.

Answer 3

Just like
3(2x+5) = 6x + 15
just like
3(7+2) = 21 + 6
so is

√5(2+√5)
= 2√5 + √25
= 2√5 + 5

you could also check by evaluating it with your calculator.