Question

How do you simplify `(4x^3-3sqrt(3x))/(3sqrt(3x^2))`?

Answer 1

`(4x^3-3sqrt(3x))/(3sqrt3 x)=4/(3sqrt3)x^2-1/sqrtx`

Explanation:

You can do it different ways, but first you should notice that the denominator should be simplifies as follows:
`3sqrt(3x^2)=3sqrt3x`
Therefore you could for instance write:
`(4x^3-3sqrt(3x))/(3sqrt3 x)=4/(3sqrt3)x^2-1/sqrtx`