SOLUTION: simplify. leave in radical form 3 divided by the difference of 5 and sqrt of 2

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Question 13957: simplify. leave in radical form
3 divided by the difference of 5 and sqrt of 2

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
we will muliply 3%2F%285-sqrt%282%29%29 by 1, thus leaving it unchanged. However my "1" will be written strangly, as shown:

%283%2F%285-sqrt%282%29%29%29%2A%28%285%2Bsqrt%282%29%29%2F%285%2Bsqrt%282%29%29%29
%283%285%2Bsqrt%282%29%29%29%2F%28%285-sqrt%282%29%29%2A%285%2Bsqrt%282%29%29%29

multiply out both numerator and denominator, to give, eventually

%2815%2B3sqrt%282%29%29%2F%2825-2%29 --> you should be able to go from the previous line to this one straight away, given enough practice.

We end up with:
%2815%2B3sqrt%282%29%29%2F23

jon.