Question

How do you simplify `sqrt(48)`?

Answer 1

`4sqrt3`

Explanation:

To simplify `sqrt48`, we should first factorize `48`. As `2` is one factor, dividing 48 by 2, we get 24, which has factors 2 again. This way we go on till we get all the factors.

Hence `sqrt48=sqrt(2xx2xx2xx2xx3)`.

As `2` has appeared four times, square root of `2xx2xx2xx2` will be just `2xx2`. Note we cannot take square root of `3` as it has not appeared in pair.

Hence, `sqrt48=2xx2xxsqrt3` or `4sqrt3`