How do you simplify 9/(sqrt6 - sqrt5)?

1 Answer

This problem can be solved by using using the conjugate of the denominator and rationalization

Explanation:

\frac{9}{\sqrt{6}-\sqrt{5}}

=frac{9}{\sqrt{6}-\sqrt{5}} * frac{\sqrt{6}+\sqrt{5}}{\sqrt{6}+\sqrt{5}}

=frac{9*(\sqrt{6}+\sqrt{5})}{(\sqrt{6})^2-(\sqrt{5})^2}

=frac{9*(\sqrt{6}+\sqrt{5})}{6-5}=9*(\sqrt{6}+\sqrt{5})