How do you simplify $\sqrt{\frac{24}{18}}$ $sqrt(24/18)$ ?

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How do you simplify $\sqrt{\frac{24}{18}}$ $sqrt(24/18)$ ?

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Answer 1 · 2015-09-18T22:31:21

$\sqrt{\frac{24}{18}} = \frac{2 \sqrt{3}}{3}$ $sqrt(24/18) = (2sqrt(3))/3$

Explanation:

$\sqrt{\frac{24}{18}} = \sqrt{\frac{4 \cdot 6}{3 \cdot 6}} = \sqrt{\frac{4}{3}} = \frac{2}{\sqrt{3}} = \frac{2}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} = \frac{2 \sqrt{3}}{3}$ $sqrt(24/18) = sqrt((4*6)/(3*6))=sqrt(4/3)=2/sqrt(3)=2/sqrt(3)*sqrt(3)/sqrt(3)=(2sqrt(3))/3$

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How do you simplify $\sqrt{\frac{24}{18}}$ $sqrt(24/18)$ ?

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How do you simplify $\sqrt{\frac{24}{18}}$ $sqrt(24/18)$ ?