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

1 Answer
Jul 26, 2015

Answer:

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#

Explanation:

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#