What is the square root of 36 over 49?

##color(blue)(6/7##

First we find the square roots of both numerator and denominator.

##sqrt(36)=sqrt(2*2*3*3)=color(blue)(6##

##sqrt(49)=sqrt(7*7)=color(blue)(7##

So, ##sqrt(36)/sqrt49 = color(blue)(6/7##