SOLUTION: Rationalize the denominator: ___2____ √[6] – √[5] ?????

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Rationalize the denominator: ___2____ √[6] – √[5] ?????      Log On


   

Question 74715: Rationalize the denominator:
___2____
√[6] – √[5]
?????
Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
2%2F%28sqrt%286%29-sqrt%285%29%29 First, multiply both numerator and denominator by %28sqrt%286%29%2Bsqrt%285%29%29 we can do this because %28sqrt%286%29%2Bsqrt%285%29%29%2F%28sqrt%286%29%2Bsqrt%285%29%29 equals 1 and we want to do this to get rid of the radicals in the denominator.
and this equals

%28%282%29%28sqrt%286%29%2Bsqrt%285%29%29%29%2F%286-5%29 and this reduces to:
2%28sqrt%286%29%2Bsqrt%285%29%29 --------------------ans

Hope this helps----ptaylor