Question

How do you rationalize the denominator and simplify `6/(2sqrtx+sqrty)`?

Answer 1

`(6(2sqrt(x)-sqrt(y)))/(4x-y)`

Explanation:

Multiplying numerator and denominator by
`2sqrt(x)-sqrt(y)` we get

`(6(sqrt(x)-sqrt(y)))/(4x-y)`
using that
`(a-b)(a+b)=a^2-b^2`