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

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Answer 1 · 2016-05-13T13:23:50

$\frac{\sqrt{10}}{4}$ $sqrt(10)/4$

Given: $\frac{\sqrt{5}}{\sqrt{8}}$ $" "sqrt(5)/sqrt(8)$

Multiply by 1 but in the form of $1 = \frac{\sqrt{8}}{\sqrt{8}}$ $1=sqrt(8)/sqrt(8)$

$= \frac{\sqrt{5}}{\sqrt{8}} \times \frac{\sqrt{8}}{\sqrt{8}}$ $" "=sqrt(5)/sqrt(8)xxsqrt(8)/sqrt(8)$

$= \frac{\sqrt{5} \sqrt{8}}{8}$ $" "=(sqrt(5)sqrt(8))/8$

But $8$ $8$ is the same as $2^{2} \times 2 so \sqrt{8} = 2 \sqrt{2}$ $2^2xx2" so "sqrt(8)=2sqrt(2)$

$= \frac{2 \sqrt{5} \sqrt{2}}{8} = \frac{\sqrt{5 \times 2}}{4}$ $" "=(2sqrt(5)sqrt(2))/8 " "=" "sqrt(5xx2)/4$

$= \frac{\sqrt{10}}{4}$ $" "=sqrt(10)/4$

How do you simplify sqrt(5) / sqrt(8)√5√8sqrt(5) / sqrt(8)?