Question

How do you simplify `5sqrt3*sqrt24`?

Answer 1

By expanding your roots and also adopting the exponential rule `sqrt(n)^2=n`

`5sqrt(3)*sqrt(3*8)`
`5color(green)(sqrt(3)*sqrt(3))sqrt(2*4)`

We have a squared squared root, which is `=3`

`5*3*4sqrt(2)`

Final answer: `60sqrt(2)`