How do you simplify $\frac{8}{\sqrt{6}}$ $8/sqrt6$ ?

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Answer 1 · 2018-06-26T17:06:27

$\frac{4 \sqrt{6}}{3}$ $(4sqrt6)/3$

Rationalise by multiplying by the denominator:

$\frac{8}{\sqrt{6}} \times \frac{\sqrt{6}}{\sqrt{6}}$ $8/sqrt6 xx sqrt6 / sqrt6$

$\sqrt{6} \times \sqrt{6} = 6$ $sqrt6 xx sqrt 6 = 6$

$= \frac{8 \sqrt{6}}{6}$ $= (8sqrt(6) ) / 6$

$= \frac{4 \sqrt{6}}{3}$ $= (4sqrt(6) )/ 3$

By dividing each top and bottom by 2

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