How do you simplify: square root (3/ 5)?

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Answer 1 · 2015-07-26T18:58:08

Using $sqrt(a/b) = sqrt(a)/sqrt(b)$ for $a >=0$ and $b > 0$

$sqrt(3/5) = sqrt((3*5)/(5*5)) = sqrt(3*5)/sqrt(5*5) = sqrt(15)/5$

We could also do it the other way:

$sqrt(3/5) = sqrt(3)/sqrt(5)$

$= sqrt(3)/sqrt(5)*sqrt(5)/sqrt(5)$

$=(sqrt(3)sqrt(5))/(sqrt(5)sqrt(5))$

$=sqrt(15)/5$

using $sqrt(a)sqrt(b) = sqrt(ab)$ when $a, b >= 0$