Question

Divide and simplify if possible (sqrt(81x ^ 8))/(sqrt(3x))

Answer 1

are u sure?

Answer 2

First, simplify the square roots:

sqrt(81x^8) = sqrt(81) * sqrt(x^8) = 9 * x^4

Then, divide:

(9x^4)/(sqrt(3x)) = 9x^4 / sqrt(3) * sqrt(x) = 9x^4 / sqrt(3) * sqrt(x) = 9x^5 / sqrt(3)

Answer 3

I apologize for the mistake in my previous response. Let's correct it.

Given:
(sqrt(81x^8))/(sqrt(3x))

First, simplify the square roots:

sqrt(81x^8) = sqrt(81) * sqrt(x^8) = 9 * x^4
sqrt(3x) = sqrt(3) * sqrt(x)

Now, divide the simplified square roots:

(9 * x^4) / (sqrt(3) * sqrt(x)) = 9x^4 / (sqrt(3) * sqrt(x))

Since sqrt(3) * sqrt(x) = sqrt(3x), the expression simplifies to:

9x^4 / sqrt(3x)

So, the correct simplified form is 9x^4 / sqrt(3x).