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What is the exact value of the expression 11 square root 8 plus 6 square root 12 minus 5 square root 2 Show your work?
Wiki User
∙ 11y ago
11*sqrt(8) + 6*sqrt(12) - 5*sqrt(2)
= 11*sqrt(4*2) + 6*sqrt(4*3) - 5*sqrt(2)
= 11*sqrt(4)*sqrt(2) + 6*sqrt(4)*sqrt(3) - 5*sqrt(2)
= 11*2*sqrt(2) + 6*2*sqrt(3) - 5*sqrt(2)
= 22*sqrt(2) - 5*sqrt(2) + 12*sqrt(3)
= 17*sqrt(2) + 12*sqrt(3)
and that cannot be simplified further.
Wiki User
∙ 11y ago
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