How do you simplify $\frac{24}{\sqrt{6}}$ $24/sqrt6$ ?

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Answer 1 · 2015-09-18T20:39:51

The answer is $4 \sqrt{6}$ $4sqrt6$ .

$\frac{24}{\sqrt{6}}$ $24/(sqrt6)$

Rationalize the denominator by multiplying times $\frac{\sqrt{6}}{\sqrt{6}}$ $sqrt6/sqrt6$ .

$\frac{24}{\sqrt{6}} \cdot \frac{\sqrt{6}}{\sqrt{6}} =$ $24/sqrt6*sqrt6/sqrt6=$

$\frac{24 \sqrt{6}}{6}$ $(24sqrt6)/6$

Simplify $\frac{24}{6}$ $24/6$ .

$(cancel24^4sqrt6)/cancel6^1=$

$4sqrt6$

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