How do you simplify $\sqrt{\frac{10}{3}} \cdot \sqrt{\frac{4}{30}}$ $sqrt (10/3) *sqrt (4/30)$ ?

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How do you simplify $\sqrt{\frac{10}{3}} \cdot \sqrt{\frac{4}{30}}$ $sqrt (10/3) *sqrt (4/30)$ ?

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Answer 1 · 2016-06-14T20:41:21

$\frac{2}{3}$ $2/3$

Explanation:

When multiplying or dividing with roots, the numbers under the root can be combined under one root.

$\sqrt{\frac{10}{3}} \times \sqrt{\frac{4}{30}} = \sqrt{\frac{10 \times 4}{3 \times 30}}$ $sqrt(10/3 )xx sqrt(4/30) = sqrt ((10 xx 4)/(3xx 30)$

$\sqrt{\frac{10 \times 4}{3 \times 30}} = \sqrt{\frac{40}{90}} = \sqrt{\frac{4}{9}} simplify$ $sqrt ((10 xx 4)/(3xx 30)) = sqrt(40/90) = sqrt(4/9) " simplify"$

$\sqrt{\frac{4}{9}} = \frac{2}{3}$ $sqrt(4/9) = 2/3$

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How do you simplify $\sqrt{\frac{10}{3}} \cdot \sqrt{\frac{4}{30}}$ $sqrt (10/3) *sqrt (4/30)$ ?

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How do you simplify $\sqrt{\frac{10}{3}} \cdot \sqrt{\frac{4}{30}}$ $sqrt (10/3) *sqrt (4/30)$ ?