SOLUTION: I need help with this problem? Simplify the expression. 8/ 3+sqrt(2)

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Question 798133: I need help with this problem?
Simplify the expression.
8/ 3+sqrt(2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply top and bottom by 3-sqrt%282%29 (this is the conjugate of the denominator) to get...

8%2F%283%2Bsqrt%282%29%29

%288%283-sqrt%282%29%29%29%2F%28%283%2Bsqrt%282%29%29%283-sqrt%282%29%29%29

%288%283-sqrt%282%29%29%29%2F%28%283%29%5E2-%28sqrt%282%29%29%5E2%29

%288%283-sqrt%282%29%29%29%2F%289-2%29

%288%283-sqrt%282%29%29%29%2F%287%29

%2824-8%2Asqrt%282%29%29%2F7



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Final Answer:

%2824-8%2Asqrt%282%29%29%2F7