SOLUTION: Rationalize the denominator: square root of x - the square root of y ___________ ___________ ___________ __________ square root of x + the square root of y *the li

Algebra ->  Radicals -> SOLUTION: Rationalize the denominator: square root of x - the square root of y ___________ ___________ ___________ __________ square root of x + the square root of y *the li      Log On


   

Question 101948: Rationalize the denominator:
square root of x - the square root of y
______________________________________________

square root of x + the square root of y

*the line is a division sign
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Rationalize the denominator:
square root of x - the square root of y
______________________________________________
square root of x + the square root of y
:
Multiply it by the conjugate of the denominator over itself:
%28sqrt%28x%29+-+sqrt%28y%29%29%2F%28sqrt%28x%29+%2B+sqrt%28y%29%29 * %28sqrt%28x%29+-+sqrt%28y%29%29%2F%28sqrt%28x%29+-+sqrt%28y%29%29 = %28x+-+sqrt%28xy%29+-+sqrt%28xy%29+%2B+y%29%2F%28x+-+sqrt%28xy%29+%2B+sqrt%28xy%29+-+y%29 = %28x+-+2%2Asqrt%28xy%29+%2B+y%29%2F%28x+-+y%29