## anonymous 5 years ago (sqrt(r)-sqrt(s))/(sqrt(r)+sqrt(s)) Rationalize the denominator.

1. myininaya

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)

2. myininaya

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

3. myininaya

$\frac{\sqrt{r}-\sqrt{s}}{\sqrt{r}+\sqrt{s}}\frac{\sqrt{r}-\sqrt{s}}{\sqrt{r}-\sqrt{s}}=\frac{r-2\sqrt{r}{s}+s}{r-s}$

4. myininaya

that sqrt should be over rs

5. anonymous

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

6. myininaya

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?

7. anonymous

Yes, thank you very much:)

8. myininaya

:)