How do you simplify $\sqrt{\frac{14 x}{18 x}}$ $sqrt ((14x)/(18x))$ ?

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Answer 1 · 2016-08-07T16:22:58

$\frac{1}{3} \sqrt{7}$ $1/3sqrt7$

Write as $\sqrt{\frac{14}{18} \times \frac{x}{x}} = \sqrt{\frac{14}{18}}$ $" "sqrt(14/18xx x/x) = sqrt(14/18)$

Write as $\sqrt{\frac{2 \times 7}{2 \times 9}} = \sqrt{(\frac{7}{9})}$ $" "sqrt((2xx7)/(2xx9)) = sqrt((7/9)$

Write as $\frac{\sqrt{7}}{\sqrt{9}}$ $sqrt(7)/sqrt(9)$

But $9 = 3^{2}$ $9=3^2$ giving $\frac{\sqrt{7}}{\sqrt{3^{2}}}$ $sqrt(7)/sqrt(3^2)$

$= \frac{1}{3} \sqrt{7}$ $=1/3sqrt7$

How do you simplify √14x18x sqrt ((14x)/(18x))?