How do you simplify $7sqrt(600)$ ?

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Answer 1 · 2015-07-21T22:34:48

$7sqrt(600) = 70sqrt(6)$

Writing $600$ with the obvious square factor $=6xx10^2$

$sqrt(600) = sqrt(6xx10^2) = sqrt(6)xxsqrt(10^2) = 10 sqrt(6)$

and therefore
$7sqrt(600) = 7xx10sqrt(6) = 70sqrt(6)$

How do you simplify 7sqrt(600)7sqrt(600)?