Question

How do you simplify `(5sqrt3)^2`?

Answer 1

`(sqrt(3))^2 = color(blue)(75)`

Explanation:

Note that for the general case:
`color(white)("XXX")(ab)^2 = a^2*b^2`

So
`color(white)("XXX")(5sqrt(3))^2 = 5^2 * (sqrt(3))^2`

`color(white)("XXXXXXX")=25 * 3`

`color(white)("XXXXXXX")= 75`