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QUESTION

What is the square root of 18 plus the square root of 32?

##sqrt(18)+sqrt(32) = 7sqrt(2)##

Use ##sqrt(ab) = sqrt(a)sqrt(b)## for ##a, b >= 0## ...

##sqrt(18)+sqrt(32)##

##=sqrt(3^2*2)+sqrt(4^2*2)##

##=3sqrt(2)+4sqrt(2)##

##=(3+4)sqrt(2)##

##=7sqrt(2)##

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