How do you rationalize the denominator and simplify $\frac{3 \sqrt{2}}{\sqrt{6}}$ $(3sqrt2)/sqrt6$ ?

Question

1282 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-20T17:00:51

$= \frac{\sqrt{12}}{2}$ $= sqrt12 / 2$

$\frac{3 \sqrt{2}}{\sqrt{6}}$ $(3sqrt2) / sqrt6$

$= \frac{3 \sqrt{2} \cdot \sqrt{6}}{\sqrt{6} \cdot \sqrt{6}}$ $= (3sqrt2 * color(blue)(sqrt6)) / (sqrt6 * color(blue)(sqrt6)$

$= \frac{3 \cdot \sqrt{2} \cdot \sqrt{6}}{6}$ $= (3 * sqrt2 * color(blue)(sqrt6)) / 6$

$= \frac{3 \sqrt{12}}{6}$ $= (3 sqrt12 ) / 6$

$= (cancel3 sqrt12 ) / cancel6$

$= sqrt12 / 2$

How do you rationalize the denominator and simplify (3sqrt2)/sqrt63√2√6(3sqrt2)/sqrt6?