How do you simplify $\frac{4 \sqrt{6}}{\sqrt{30}}$ $(4sqrt6)/ sqrt30$ ?

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How do you simplify $\frac{4 \sqrt{6}}{\sqrt{30}}$ $(4sqrt6)/ sqrt30$ ?

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Answer 1 · 2015-03-31T22:01:44

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$4 \frac{\sqrt{6}}{\sqrt{30}} = 4 \frac{\sqrt{6}}{\sqrt{6 \cdot 5}} = 4 \frac{\sqrt{6}}{\sqrt{6} \sqrt{5}} =$ $4sqrt(6)/(sqrt(30))=4sqrt(6)/(sqrt(6*5))=4sqrt(6)/(sqrt(6)sqrt(5))=$
$= \frac{4}{\sqrt{5}} =$ $=4/sqrt(5)=$ rationalizing you get:
$= \frac{4}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}} = 4 \frac{\sqrt{5}}{5}$ $=4/sqrt(5)*sqrt(5)/sqrt(5)=4sqrt(5)/5$

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How do you simplify $\frac{4 \sqrt{6}}{\sqrt{30}}$ $(4sqrt6)/ sqrt30$ ?

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