Question

What is the simplified radical form of `sqrt(96)`?

Answer 1

`=color(blue)(4sqrt6`

Explanation:

Simplifying this expression involves prime factorisation of `96`

`96= 2*2*2*2*2*3`
(`2 and 3` are the prime factors of `96`)

So `sqrt(96)=sqrt(2*2*2*2*2*3)`

`=sqrt(2^2 *2^2 *2*3)`

`=2*2sqrt6`

`=color(blue)(4sqrt6`