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Polynomials

Question

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Simplify: $left parenthesis 3 plus square root of 3 right parenthesis left parenthesis 2 plus square root of 2 right parenthesis squared.$

Solution

left parenthesis 3 plus square root of 3 right parenthesis left parenthesis 2 plus square root of 2 right parenthesis squared space space space space space space space space space space space equals left parenthesis 3 plus square root of 3 right parenthesis left parenthesis 4 plus 2 plus 2.2. square root of 2 right parenthesis space space space space space space space space space space space equals space left parenthesis 3 plus square root of 3 right parenthesis left parenthesis 6 plus 4 square root of 2 right parenthesis space space space space space space space space space space space equals space 18 plus 12 square root of 2 plus 6 square root of 3 plus 4 square root of 6

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