Divide and simplify if possible /81x^8 over /3x

Question

Where / means square root

Answer 1

To divide and simplify the expression /81x^8 over /3x, we first need to simplify the roots and then divide the terms.

Simplify the roots:
√81 = 9
√x^8 = x^4
√3x = √3 * √x = √3x

Now we have:
(9*x^4) / (√3x)

Next, we divide the terms:
(9*x^4) / (√3x) = (9/√3) * (x^4/x) = 3 * x^3

Therefore, the simplified expression is 3x^3.