Question 156594
Rationalize the denominator

(Square root of U - sqrt of V) divided by (sqrt of U + sqrt of v)

Huhhhh...

solution:
(sqrt u-sqrt v)/(sqrt u+sqrt v)
multiply and divide by sqrt u-sqrt v
(sqrt u-sqrt v)(sqrt u-sqrt v)/(sqrt u+sqrt v)(sqrt u-sqrt v)
(sqrt u-sqrt v)^2/(sqrt u)^2-(sqrt v)^2
(sqrt u-sqrt v)^2/(u-v)