Question

Rationalize `(sqrt(6) + sqrt(5))/(sqrt(5) - sqrt(3))`?

Answer 1

Multiply the fraction with the "opposite" (the denominator with the reverse sign) of the denominator and simplify.

Explanation:

`(sqrt(6) + sqrt(5))/(sqrt(5) - sqrt(3)) * (sqrt(5) + sqrt(3))/(sqrt(5) + sqrt(3))`

Simplifying, we get:
`(sqrt(30) + sqrt(18) + sqrt(15) + 5)/(5 + sqrt(15) - sqrt(15) -3)`

`-> (sqrt(30) + sqrt(18) + sqrt(15) + 5)/(2)`

`= (sqrt(30) + sqrt(18) + sqrt(15) + 5)/(2)`