How do you simplify the square root of 12 over the square root of 49?

Mar 22, 2018

$\frac{2 \sqrt{3}}{7} = \frac{2}{7} \sqrt{3}$

Explanation:

$\text{using the "color(blue)"law of radicals}$

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$\Rightarrow \sqrt{12} = \sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3} = 2 \sqrt{3}$

$\text{and } \sqrt{49} = 7$

$\Rightarrow \frac{\sqrt{12}}{\sqrt{49}}$

$= \frac{2 \sqrt{3}}{7} = \frac{2}{7} \sqrt{3}$