How do you simplify $\frac{4 \sqrt{3}}{\sqrt{12}}$ $(4sqrt(3))/sqrt12$ ?

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Answer 1 · 2015-07-02T23:05:13

$\frac{4 \sqrt{3}}{\sqrt{12}} = 2$ $(4sqrt(3))/sqrt(12) = 2$

$\sqrt{12} = \sqrt{2^{2} \cdot 3} = \sqrt{2^{2}} \cdot \sqrt{3} = 2 \cdot \sqrt{3}$ $sqrt(12) = sqrt(2^2*3) = sqrt(2^2)*sqrt(3) = 2*sqrt(3)$

If $a, b \geq 0$ $a, b >= 0$ then $\sqrt{a b} = \sqrt{a} \sqrt{b}$ $sqrt(ab) = sqrt(a)sqrt(b)$

So:

$\frac{4 \sqrt{3}}{\sqrt{12}} = \frac{4 \sqrt{3}}{2 \sqrt{3}} = \frac{4}{2} = 2$ $(4sqrt(3))/sqrt(12) = (4sqrt(3))/(2sqrt(3)) = 4/2 = 2$

How do you simplify 4√3√12(4sqrt(3))/sqrt12?