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

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Answer 1 · 2016-05-13T13:23:50

$sqrt(10)/4$

Given: $" "sqrt(5)/sqrt(8)$

Multiply by 1 but in the form of $1=sqrt(8)/sqrt(8)$

$" "=sqrt(5)/sqrt(8)xxsqrt(8)/sqrt(8)$

$" "=(sqrt(5)sqrt(8))/8$

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

$" "=(2sqrt(5)sqrt(2))/8 " "=" "sqrt(5xx2)/4$

$" "=sqrt(10)/4$

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