sqrt 18x to the 5th

Do you just need to bring as much out from under the square root as possible?

If so:
3x^2*sqrt(2x)

To simplify the expression sqrt(18x^5), we can break it down step by step.

Step 1: Simplify the number inside the square root.
sqrt(18) can be simplified by breaking it down into its factors. The square root of 18 is equal to the square root of 9 times the square root of 2.
sqrt(18) = sqrt(9 * 2)
sqrt(18) = sqrt(9) * sqrt(2)

Step 2: Simplify the square root of 9.
sqrt(9) is equal to 3 because 3 * 3 = 9.

Putting it together:
sqrt(18) = 3 * sqrt(2)

Step 3: Simplify the variable inside the square root.
sqrt(x^5) can be simplified by breaking it down into x^2 * x^2 * x.
sqrt(x^5) = sqrt(x^2 * x^2 * x)
sqrt(x^5) = sqrt(x^2) * sqrt(x^2) * sqrt(x)
sqrt(x^5) = x * x * sqrt(x)
sqrt(x^5) = x^2 * sqrt(x)

Putting it together:
sqrt(18x^5) = 3 * sqrt(2) * x^2 * sqrt(x)

So, the simplified form of sqrt(18x^5) is 3x^2 * sqrt(2x).