Question

How do you write in simplified radical form of `4sqrt(48)`?

Answer 1

You need to break down (find the prime factorization of) 48.

`4sqrt(6*8)`
`4sqrt(2*3*4*2)`
`4sqrt(2*3*2*2*2)`

Remember we are looking for pairs of two when we are looking for the square root.

We find that we have two sets of 2s. We will bring a 2 out for each set.

`4*2*2sqrt3`

Which gives me `16sqrt3`