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

1 Answer
Jul 19, 2018

Answer:

#sqrt(6)/3#

Explanation:

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#