Question

(sqrt(r)-sqrt(s))/(sqrt(r)+sqrt(s)) Rationalize the denominator.

Answer 1

multiply by the bottom's conjugate
the conjugate of a+b is a-b
so the conjugate of sqrt(r)+sqrt(s) is sqrt(r)-sqrt(s)

Answer 2

if you multiply the bottom, you have to multiply the top though

Answer 3

\[\frac{\sqrt{r}-\sqrt{s}}{\sqrt{r}+\sqrt{s}}\frac{\sqrt{r}-\sqrt{s}}{\sqrt{r}-\sqrt{s}}=\frac{r-2\sqrt{r}{s}+s}{r-s}\]

Answer 4

that sqrt should be over rs

Answer 5

Thank very much for showing me how to do this problem.

Answer 6

np
to rationalize the denominator just multiply what you have in the bottom with the sign change in the middle (do it to top and bottom)
does that make sense?

Answer 7

Yes, thank you very much:)

Answer 8

:)