How do you simplify $sqrt15/(2sqrt20)$ ?

Question

1453 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-05-10T01:12:38

Take squares out of square roots.

Original expression: $sqrt(15)/(2sqrt(20))$

Using prime factorization for the values inside the square roots:
$=sqrt(3*5)/(2sqrt(2^2*5)$

Take out the $2^2$ out of the square root in the denominator:
$=sqrt(3*5)/(4sqrt(5))$

Combine the square roots into one square root:
$=1/4sqrt((3*5)/5)$

Cancel the $5$ in the numerator and denominator of the square root:
$=sqrt(3)/4$ which is our final answer.

How do you simplify sqrt15/(2sqrt20)sqrt15/(2sqrt20)?