How do you simplify $\frac{\sqrt{36}}{\sqrt{3}}$ $sqrt36/sqrt3$ ?

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How do you simplify $\frac{\sqrt{36}}{\sqrt{3}}$ $sqrt36/sqrt3$ ?

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Answer 1 · 2016-01-28T16:23:05

$= 2 \sqrt{3}$ $=2sqrt3$

Explanation:

$\frac{\sqrt{36}}{\sqrt{3}}$ $sqrt36/sqrt3$

We know that $\sqrt{36} = 6$ $sqrt36= 6$

So,
$\frac{\sqrt{36}}{\sqrt{3}} = \frac{6}{\sqrt{3}}$ $sqrt36/sqrt3 = color(blue)(6)/sqrt3$

Now we rationalise the denominator:
$\frac{6}{\sqrt{3}} = \frac{(6) \times \sqrt{3}}{\sqrt{3} \times \sqrt{3}}$ $(6)/sqrt3 =((6) xx sqrt3) /(sqrt3 xx sqrt3$

$= \frac{6 \sqrt{3}}{\sqrt{3} \times \sqrt{3}}$ $=(6sqrt3)/(sqrt3 xx sqrt3$

$= \frac{6 \sqrt{3}}{3}$ $=(6sqrt3)/ 3$

$=(cancel6sqrt3)/ cancel3$

$=2sqrt3$

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How do you simplify $\frac{\sqrt{36}}{\sqrt{3}}$ $sqrt36/sqrt3$ ?

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How do you simplify $\frac{\sqrt{36}}{\sqrt{3}}$ $sqrt36/sqrt3$ ?