Question

How do you simplify `[(sqrt2) + (sqrt5)] / [(sqrt2) – (sqrt5)]`?

Answer 1

It is `(7+2sqrt2sqrt5)/(-3)`

Explanation:

`(sqrt2+sqrt5)/(sqrt2-sqrt5)=((sqrt2+sqrt5)*(sqrt2+sqrt5))/((sqrt2-sqrt5)*(sqrt2+sqrt5))=(sqrt2+sqrt5)^2/(2-5)=(2+5+2sqrt2sqrt5)/(-3)=(7+2sqrt2sqrt5)/(-3)`