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

1 Answer

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})#