SOLUTION: Simplify by rationalizing the denominator: y/(√7+√3)

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Question 432440: Simplify by rationalizing the denominator: y/(√7+√3)
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
To rationalize the denominator means to eliminate the radicals on denominator.
For this reason we multiply the numerator and denominator with the conjugate of denominator, which in our case is:
sqrt%287%29-sqrt%283%29
= (simplify).
%28y%2Asqrt%287%29-y%2Asqrt%283%29%29%2F%287-3%29=%28y%2Asqrt%287%29-y%2Asqrt%283%29%29%2F4
To find this result we apply on the denominator the algebraic formula:
%28a%2Bb%29%28a-b%29=a%5E2-b%5E2.