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What is the square root of 3 divided by the square root of 12?

1 Answer

Sep 18, 2015

$\frac{\sqrt{3}}{\sqrt{12}} = \frac{1}{2}$ $sqrt3/sqrt12 = color(green)(1/2$

Explanation:

We know that $\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$ $color(blue)(sqrta/sqrtb = sqrt(a/b)$

Hence $\frac{\sqrt{3}}{\sqrt{12}} = \sqrt{\frac{3}{12}}$ $sqrt3/sqrt12 = sqrt(3/12)$

$= \sqrt{\frac{1}{4}}$ $= sqrt(1/4)$

$= \frac{\sqrt{1}}{\sqrt{4}}$ $= sqrt1/sqrt4$

$= \frac{1}{2}$ $= color(green)(1/2$

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