Question

How do you rationalize `sqrt(12/147)`?

Answer 1

`sqrt(12/147) = sqrt ((cancel(3)*4)/(cancel(3)*49))`

`= sqrt(4/49)`

We know that `color(blue)(sqrt(a/b) = sqrta/sqrtb`

Hence `sqrt(4/49) = sqrt4 / sqrt49`

`= color(green)(2/7`

As the denominator 7 is a Rational Number, we can say that we have rationalised `sqrt(12/147)`