SOLUTION: Simplify by rationalizing the denominator. 3/{[(5)^(1/2)]+[(6)^(1/2)]}

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Question 49529This question is from textbook College Algebra
: Simplify by rationalizing the denominator. 3/{[(5)^(1/2)]+[(6)^(1/2)]} This question is from textbook College Algebra

Answer by gsmani_iyer(201) About Me  (Show Source):
You can put this solution on YOUR website!

3/{[(5)^(1/2)]+[(6)^(1/2)]}

= 3%2F%28sqrt%286%29%2Bsqrt%285%29%29 .... By multiplying both numerator & denominator by %28sqrt%286%29-sqrt%285%29%29, we get

= = %283%28sqrt%286%29-sqrt%285%29%29%29%2F%286-5%29 = %283%28sqrt%286%29-sqrt%285%29%29%29%2F1 Answer.

I hope this is clear to you. In your question, the denominator, it is sqrt(5)+sqrt(6). As both are positive, I took sqrt(6)+sqrt(5) as denominator so that the value of the expression will not change. If it is taken as it is as in the problem, then the answer will be in negative i.e. it will be %28-3%28sqrt%286%29-sqrt%285%29%29%29%2F%281%29

gsm