Question

How do you simplify `\frac { 2\sqrt { 6} - \sqrt { 5} } { \sqrt { 6} + 3\sqrt { 5} }`?

Answer 1

`frac{-27 + 7 sqrt 30}{8}`

Explanation:

`frac{2sqrt 6 - sqrt 5}{sqrt 6 + 3 sqrt 5} * frac{sqrt 6 - 3 sqrt 5}{sqrt 6 - 3 sqrt 5} = frac{2 * 6 - 7 sqrt 30 + 3 * 5}{6 - 9 * 5}`