Question

Rationalize the denominator. Assume that all expressions under radicals represent positive numbers.
(√r-√s)/(√r+√s)

Answer 1

You will want to multiple by the fraction (√r - √s)/(√r - √s)

Answer 2

multiply top and bottom by
\[\sqrt{r}-\sqrt{s}\]

Answer 3

denominator will be
\[r-s\] numerator will be whatever you get when you multiply out, namely
\[r+s-2\sqrt{rs}\]

Answer 4

the bottom will simplify to just being r-s. the numerator should be (r + s - 2√(rs)

Answer 5

what TBates said