SOLUTION: Help solve this! Rationalize the denominator? 3/(9-sqrt(2))

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Question 668210: Help solve this!
Rationalize the denominator?
3/(9-sqrt(2))
Found 2 solutions by stanbon, ReadingBoosters:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Rationalize the denominator?
3/(9-sqrt(2))
----
Multiply numerator and denominator by 9+sqrt(2):
----
= [3(9+sqrt(2)] / [81-2]
----
= (3/79)(9+sqrt(2))
=======================
Cheers,
Stan H.

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with
3%2F%289-sqrt%282%29%29
Create a difference of squares in the denominator by
%283%2F%289-sqrt%282%29%29%29%28%289%2Bsqrt%282%29%29%2F%289%2Bsqrt%282%29%29%29
...
%289-sqrt%282%29%29%289%2Bsqrt%282%29%29
81+%2B+9sqrt%282%29+-+9sqrt%282%29+-+sqrt%282%29%5E2
81 - 2 = 79
%283%289%2Bsqrt%282%29%29%29%2F79
Distribute the 3
highlight_green%28%2827+%2B+3sqrt%282%29%29%2F79%29
............
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