Question

How do you divide `sqrt(36/49)`?

Answer 1

You may have noticed that `36=6^2` and `49=7^2`

Squares against square roots cancel out, so:

`sqrt(36/49)=sqrt(6^2/7^2)=sqrt((6/7)^2)=6/7`

Another way:

`sqrt(36/49)=sqrt(36)/sqrt(49)=sqrt(6^2)/sqrt(7^2)=6/7`