How do you simplify $sqrt(2/3)$ ?

Question

1455 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-19T04:06:00

$sqrt(6)/3$

Given: $sqrt(2/3)$

Use these rules of radicals:
$sqrt(m/n) = sqrt(m)/sqrt(n)" and "sqrt(m)sqrt(n) = sqrt(m*n)$

$sqrt(2/3) = sqrt(2)/sqrt(3)$

Radicals need to be eliminated from the denominator. This is called rationalizing the denominator:

$sqrt(2)/sqrt(3) * sqrt(3)/sqrt(3) = sqrt(6)/sqrt(9) = sqrt(6)/3$

How do you simplify sqrt(2/3)sqrt(2/3)?