Question

How do you combine `3sqrt(27x^3) - 2sqrt(12x^3)`?

Answer 1

The expression can be simplified to `5xsqrt(3x)`, with the restriction being `x ≥ 0`.

Explanation:

`=3sqrt(3 xx 9 xx x xx x xx x) - 2sqrt(4 xx 3 xx x xx x xx x)`

`=3(3)(x)sqrt(3x) - 2(2)(x)sqrt(3x)`

`=9xsqrt(3x) - 4xsqrt(3x)`

Since they're like terms, we can combine:

`=5xsqrt(3x), x≥0`

Hopefully this helps!