Question

For all \[x >0\]and\[y >0\] the radical expression \[\frac{ \sqrt{x} }{ 5\sqrt{x}-\sqrt{y}}\] is equivalent to what?

Answer 1

You multiply above and below by
\[5\sqrt x+\sqrt y\]

Answer 2

why is that?

Answer 3

So you remove the square root from the denominator

Answer 4

oh

Answer 5

so would it be \[\frac{ 5x+\sqrt{xy} }{ 25x-y }\]

Answer 6

Exactly !

Answer 7

alright thanks :) Would it be the same for all questions like this? Where I want to get rid of the radicals in the denominator?

Answer 8

most of them ! ;)

Answer 9

thnx a lot i appreciate it