SOLUTION: Directions: Rationalize the denominator. 5/6 -(square root of 5)

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Question 181639: Directions: Rationalize the denominator.
5/6 -(square root of 5)


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Rationalize the denominator.
5/6 -(square root of 5)
----------------
5%2F%286-sqrt%285%29%29
The way to do these is to multiply NUM and DEN by the conjugate of the DEN.
The conjugate of 6-sqrt%285%29%29 is 6%2Bsqrt%285%29%29
The sign is different between the 2 terms, called the conjugate.
=5%286%2Bsqrt%285%29%29%2F%286-sqrt%285%29%29%2A%286%2Bsqrt%285%29%29
=%2830%2B5sqrt%285%29%29%2F%2836-5%29
=%2830%2B5sqrt%285%29%29%2F31