SOLUTION: Division: sqrt(2x)/(sqrt8x-sqrt32)

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Question 928782: Division: sqrt(2x)/(sqrt8x-sqrt32)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%282x%29%2F%28sqrt%288x%29-sqrt%2832%29%29=

=

%28sqrt%282x%29%28sqrt%288x%29%2Bsqrt%2832%29%29%29%2F%288x-32%29=

since sqrt%282x%29%2Asqrt%288x%29=sqrt%2816x%5E2%29=4x and sqrt%2832%29=sqrt%284%2A4%2A2%29=4sqrt%282%29 , we have

%284x%2B4sqrt%282%29sqrt%282x%29%29%2F%288x-32%29=

cross%284%29%28x%2Bsqrt%284x%29%29%2Fcross%284%29%282x-8%29=

%28x%2Bsqrt%284x%29%29%2F%282x-8%29=

%28x%2B2sqrt%28x%29%29%2F%282x-8%29