How do you simplify $\frac{\sqrt{9 x^{2}}}{\sqrt{18 y^{2}}}$ $sqrt(9x^2) /sqrt( 18y^2)$ ?

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How do you simplify $\frac{\sqrt{9 x^{2}}}{\sqrt{18 y^{2}}}$ $sqrt(9x^2) /sqrt( 18y^2)$ ?

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Answer 1 · 2016-03-22T18:56:26

$\frac{x}{\sqrt{2} y}$ $x/(sqrt(2)y)$

Explanation:

$\frac{\sqrt{9 x^{2}}}{\sqrt{18 y^{2}}}$ $sqrt(9x^2)/sqrt(18y^2)$

$\sqrt{9} = 3$ $sqrt9=3$

$\sqrt{x^{2}} = x$ $sqrt(x^2)=x$

$\sqrt{18} = \sqrt{9 \times 2} = 3 \sqrt{2}$ $sqrt18=sqrt(9xx2)=3sqrt2$

$\sqrt{y^{2}} = y$ $sqrt(y^2)=y$

Therefore
$\frac{\sqrt{9 x^{2}}}{\sqrt{18 y^{2}}} = \frac{3 x}{3 \sqrt{2} y}$ $sqrt(9x^2)/sqrt(18y^2)=(3x)/(3sqrt(2) y)$ = $\frac{x}{\sqrt{2} y}$ $x/(sqrt(2)y)$

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How do you simplify $\frac{\sqrt{9 x^{2}}}{\sqrt{18 y^{2}}}$ $sqrt(9x^2) /sqrt( 18y^2)$ ?

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How do you simplify sqrt(9x^2) /sqrt( 18y^2)√9x2√18y2sqrt(9x^2) /sqrt( 18y^2)?

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How do you simplify $\frac{\sqrt{9 x^{2}}}{\sqrt{18 y^{2}}}$ $sqrt(9x^2) /sqrt( 18y^2)$ ?