How do you simplify $\sqrt{\frac{8}{9}}$ $sqrt(8/9)$ ?

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How do you simplify $\sqrt{\frac{8}{9}}$ $sqrt(8/9)$ ?

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Answer 1 · 2018-03-26T12:50:15

$\sqrt{\frac{8}{9}}$ $sqrt(8/9)$ can be simplified to $\frac{2 \sqrt{2}}{3}$ $(2sqrt(2))/3$ .

Explanation:

When you square root a fraction, both the numerator and denominator get square rooted.
$\sqrt{\frac{8}{9}}$ $sqrt(8/9)$
$= \frac{\sqrt{8}}{\sqrt{9}}$ $=sqrt(8)/sqrt(9)$
$= \frac{\sqrt{4 \cdot 2}}{3}$ $=sqrt(4*2)/3$
$= \frac{\sqrt{4} \cdot \sqrt{2}}{3}$ $=(sqrt(4)*sqrt(2))/3$
$= \frac{2 \sqrt{2}}{3}$ $=(2sqrt(2))/3$

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How do you simplify $\sqrt{\frac{8}{9}}$ $sqrt(8/9)$ ?

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