Question

How do you simplify `sqrt(7/3) *sqrt(7/3)`?

Answer 1

We know that `color(blue)(sqrta*sqrtb = sqrt(ab)`

Hence `sqrt(7/3) *sqrt(7/3) = sqrt((7/3)(7/3))`

`= sqrt(7^2/3^2)`

`= sqrt((7/3)^2)`

`= color(green)(7/3)`

`sqrt(7/3) *sqrt(7/3) = 7/3`