How do you simplify $\sqrt{24}$ $sqrt24$ times $\sqrt{\frac{2}{3}}$ $sqrt(2/3)$ ?

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How do you simplify $\sqrt{24}$ $sqrt24$ times $\sqrt{\frac{2}{3}}$ $sqrt(2/3)$ ?

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Answer 1 · 2018-04-09T21:49:08

By radical laws, $\sqrt{a} \cdot \sqrt{b} = \sqrt{a b}$ $sqrt(a)*sqrt(b) = sqrt(ab)$ .

Using this law:
$\sqrt{24} \cdot \sqrt{\frac{2}{3}}$ $sqrt(24)*sqrt(2/3)$
$= \sqrt{24 \cdot \frac{2}{3}}$ $=sqrt(24*2/3)$
$= \sqrt{\frac{48}{3}}$ $=sqrt(48/3)$
$= \sqrt{16}$ $=sqrt(16)$
$= 4$ $=4$

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How do you simplify $\sqrt{24}$ $sqrt24$ times $\sqrt{\frac{2}{3}}$ $sqrt(2/3)$ ?

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