How do you rationalize the denominator and simplify $\sqrt{\frac{5}{8}}$ $sqrt(5/8)$ ?

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How do you rationalize the denominator and simplify $\sqrt{\frac{5}{8}}$ $sqrt(5/8)$ ?

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Answer 1 · 2017-05-19T14:53:43

I tried this:

Explanation:

Let us write it as:
$\frac{\sqrt{5}}{\sqrt{8}}$ $sqrt(5)/sqrt(8)$
multiply and divide by $\sqrt{8}$ $sqrt(8)$
$\frac{\sqrt{5}}{\sqrt{8}} \cdot \frac{\sqrt{8}}{\sqrt{8}} = \frac{\sqrt{5} \sqrt{8}}{8} = \frac{\sqrt{40}}{8} = \frac{\sqrt{4 \cdot 10}}{8} = 2 \frac{\sqrt{10}}{8} = \frac{\sqrt{10}}{4}$ $sqrt(5)/sqrt(8)*sqrt(8)/sqrt(8)=(sqrt(5)sqrt(8))/8=sqrt(40)/8=(sqrt(4*10))/8=2sqrt(10)/8=sqrt(10)/4$

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How do you rationalize the denominator and simplify $\sqrt{\frac{5}{8}}$ $sqrt(5/8)$ ?

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How do you rationalize the denominator and simplify $\sqrt{\frac{5}{8}}$ $sqrt(5/8)$ ?