Divide and simplify if possible (sqrt(81x ^ 8))/(sqrt(3x))
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)
are u sure?
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).