SOLUTION: Please if you would simplify by rationalizing the denominator (sqrt11-sqrt5)/(sqrt11+sqrt5) thank you

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Question 148465: Please if you would
simplify by rationalizing the denominator
(sqrt11-sqrt5)/(sqrt11+sqrt5)
thank you
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%2811%29-sqrt%285%29%29%2F%28sqrt%2811%29%2Bsqrt%285%29%29
Multiply NUM and DEN by sqrt%2811%29-sqrt%285%29 (similar to the conjugate)
=
=%28%2811+-+2sqrt%2855%29+%2B+5%29%29%2F%2811+-+5%29
=%28%2816-2sqrt%2855%29%29%29%2F6
=%28%288+-+sqrt%2855%29%29%29%2F3