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How do you simplify $\sqrt{\frac{3}{6}}$ $sqrt(3/6)$ ?

1 Answer

Oct 5, 2015

$\frac{1}{\sqrt{2}}$ $1/sqrt(2)$
$XXX$ $color(white)("XXX")$ or (equivalently)
$\frac{\sqrt{2}}{2}$ $sqrt(2)/2$

Explanation:

$\sqrt{\frac{3}{6}} = \sqrt{\frac{1}{2}}$ $sqrt(3/6) = sqrt(1/2)$

$XXX = \frac{\sqrt{1}}{\sqrt{2}} = \frac{1}{\sqrt{2}}$ $color(white)("XXX")=sqrt(1)/sqrt(2) = 1/sqrt(2)$

$XXX = \frac{1}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}} = \frac{\sqrt{2}}{2}$ $color(white)("XXX")=1/sqrt(2)*sqrt(2)/sqrt(2) =sqrt(2)/2$

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