SOLUTION: SIMPLIFY 4*THE SQUARE ROOT OF 8 + 5*THE SQUARE ROOT OF 18 - 9 *THE SQUARE ROOT OF 27 + 6*THE SQUARE ROOT OF 33

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Question 193965: SIMPLIFY
4*THE SQUARE ROOT OF 8 + 5*THE SQUARE ROOT OF 18 - 9 *THE SQUARE ROOT OF 27 + 6*THE SQUARE ROOT OF 33

Answer by RAY100(1637)   (Show Source): You can put this solution on YOUR website!
remember to "factor" a radical we look for perfect squares as factors
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4sqrt 8 + 5 sqrt18 - 9 sqrt27 +6 sqrt33
4sqrt(4*2) +5 sqrt (9*2) -9 sqrt (9*3) +6sqrt33
4 sqrt4sqrt2 + 5sqrt9sqrt2 -9sqrt9sqrt3 +6sqrt33
4*2sqrt2 + 5*3sqrt2 -9*3sqrt3 +6sqrt33
8sqrt2 + 15sqrt2 -27sqrt3 = 6sqrt33
23 sqrt2 -27sqrt3 +6sqrt33
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check by using calculator on original and answer,, in this case both were 20.23,,ok

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