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How do you simplify $\sqrt{45 x^{2}} \div \sqrt{9}$ $sqrt(45x^2) div sqrt(9)$ ?

1 Answer

Sep 13, 2015

$\sqrt{45 x^{2}} \div \sqrt{9} = \sqrt{5} | x |$ $sqrt(45x^2) div sqrt(9) = sqrt(5)abs(x)$

Explanation:

$\frac{\sqrt{45 x^{2}}}{\sqrt{9}}$ $sqrt(45x^2)/sqrt(9$

$XXX = \frac{\sqrt{9 \cdot 5 \cdot x^{2}}}{\sqrt{9}}$ $color(white)("XXX")= sqrt(9*5*x^2)/sqrt(9)$

$color(white)("XXX")=(cancel(sqrt(9))*sqrt(5)*sqrt(x^2))/cancel(sqrt(9))$

$color(white)("XXX")=sqrt(5)*abs(x)$

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