How do you simplify $sqrt(150x^2y)$ ?

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Answer 1 · 2016-01-19T19:54:59

$sqrt(150x^2y) = 5abs(x)sqrt(6y)$

If $a, b >= 0$ then $sqrt(ab) = sqrt(a)sqrt(b)$

Note also that $sqrt(x^2) = abs(x)$ for any Real number $x$

So:

$sqrt(150x^2y) = sqrt(25*6*x^2*y)=sqrt(5^2)*sqrt(6x^2y) = 5sqrt(6x^2y)$

$= 5sqrt(x^2)sqrt(6y) = 5abs(x)sqrt(6y)$

How do you simplify sqrt(150x^2y)sqrt(150x^2y)?