SOLUTION: Rationalize the denominator of the square root of c – the square root of d/ the square root of c + the square root of d? Assume that all expressions under radicals represent positi

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Question 401424: Rationalize the denominator of the square root of c – the square root of d/ the square root of c + the square root of d? Assume that all expressions under radicals represent positive numbers and simplify and type an exact answer using radicals as needed.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Rationalize the denominator of the square root of c – the square root of d/ the square root of c + the square root of d? Assume that all expressions under radicals represent positive numbers and simplify and type an exact answer using radicals as needed
:
%28sqrt%28c%29+-+sqrt%28d%29%29%2F%28sqrt%28c%29+%2B+sqrt%28d%29%29
Multiply by the conjugate of the denominator over itself
%28sqrt%28c%29+-+sqrt%28d%29%29%2F%28sqrt%28c%29+%2B+sqrt%28d%29%29 * %28sqrt%28c%29+-+sqrt%28d%29%29%2F%28sqrt%28c%29+-+sqrt%28d%29%29 = %28c+-+2sqrt%28cd%29+%2B+d%29%2F%28c+-+d%29