SOLUTION: 6-4 Radical 5 over 2-3 Radical 3 Rationalizing--please simplify this fraction

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Question 1203969: 6-4 Radical 5
over
2-3 Radical 3
Rationalizing--please simplify this fraction
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
%286-4sqrt%285%29%29%2F%282-3sqrt%283%29%29

and you can begin by multiplying by 1
in the form of %282%2B3sqrt%283%29%29%2F%282%2B3sqrt%283%29%29.

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


%286-4sqrt%285%29%29%2F%282-3sqrt%283%29%29

Rationalize by multiplying numerator and denominator by the conjugate of the denominator, 2%2B3sqrt%283%29

The will make the denominator rational:

%282-3sqrt%283%29%29%282%2B3sqrt%283%29%29=%282%29%5E2-%283sqrt%283%29%29%5E2=4-27=-23



Finish the problem by performing the multiplication in the numerator.