Question

Can you explain how to simplify
√12x^3y^4 the bar goes all the way across the problem but I don't have a way to put the bar all the way across the equation.

Answer 1

To simplify the expression √(12x^3y^4), we need to break down the expression under the square root sign into its simplest form. Let's simplify it step by step:

Step 1: Split the square root into separate square roots for each factor.
√(12x^3y^4) = √(12) * √(x^3) * √(y^4)

Step 2: Simplify each individual square root.
√(12) can be simplified as √(4 * 3) = √4 * √3 = 2 * √3
√(x^3) = x^(3/2)
√(y^4) = y^(4/2) = y^2

Step 3: Combine the simplified square roots.
2 * √3 * x^(3/2) * y^2

So, the simplified form of √(12x^3y^4) is 2√(3) * x^(3/2) * y^2.