Question

How do you rationalize the denominator and simplify `(3 sqrt 5 + 2) / (3 sqrt 5 + 5)`?

Answer 1

`1/20(35-9sqrt5)`

Explanation:

multiplying by `3sqrt5-5` on both numerator and denominator we get `( (3sqrt5+2)*(3sqrt5-5))/(45-25)`=`((45-10-sqrt5(15-6))/20)` = `1/20(35-9sqrt5)`[answer]