perform and simplify

sqrt 12x^3 . 3xy^2

You have asked that question once already. See my previous answer

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To perform and simplify the expression √(12x^3 * 3xy^2), we can follow these steps:

Step 1: Multiply the coefficients (numbers) and the variables separately inside the square root.

√(12x^3 * 3xy^2) = √(36x^4y^2)

Step 2: Simplify any perfect square factors under the square root sign. In this case, the perfect square is 36.

√(36x^4y^2) = 6x^2y

Therefore, the simplified form of the expression √(12x^3 * 3xy^2) is 6x^2y.