Question

How do you simplify `(3sqrt6+2sqrt5) /( sqrt6+sqrt 5)`?

Answer 1

`8-sqrt(30)`

Explanation:

Using `(a+b)(a-b)=a^2-b^2` and simplifying
`(3 sqrt[6] + 2 sqrt[5])/(sqrt[6] + sqrt[5]) =((3 sqrt[6] + 2 sqrt[5]) (sqrt[6] - sqrt[5]))/((sqrt[6] + sqrt[5]) (sqrt[6] - sqrt[5])) = 8 -sqrt(30)`