How do you rationalize the $\frac{\sqrt{5}}{\sqrt{8}}$ $sqrt5/sqrt8$ ?

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How do you rationalize the $\frac{\sqrt{5}}{\sqrt{8}}$ $sqrt5/sqrt8$ ?

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Answer 1 · 2015-03-30T19:33:59

You can multiply and divide by $\sqrt{8}$ $sqrt(8)$ to get:
$\frac{\sqrt{5}}{\sqrt{8}} \cdot \frac{\sqrt{8}}{\sqrt{8}} = \frac{\sqrt{5 \cdot 8}}{8} = \frac{\sqrt{40}}{8} = \frac{\sqrt{4 \cdot 10}}{8} = 2 \frac{\sqrt{10}}{8} = \frac{\sqrt{10}}{4}$ $sqrt(5)/sqrt(8)*sqrt(8)/sqrt(8)=sqrt(5*8)/8=sqrt(40)/8=sqrt(4*10)/8=2sqrt(10)/8=sqrt(10)/4$

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How do you rationalize the $\frac{\sqrt{5}}{\sqrt{8}}$ $sqrt5/sqrt8$ ?

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How do you rationalize the $\frac{\sqrt{5}}{\sqrt{8}}$ $sqrt5/sqrt8$ ?