2x^3/2
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The square root of 4x^2 is solved by first doing the square root of 4. This is plus or minus two - because -2 x -2=4. The square root of x^2 is x. So the answers are 2x or -2x. If your question was (4x)^2, then the answer would be 4x.
√3 x √27 = 9
The square root of x has two answers. It's either x (which is +x), or it's -x. If we take x times x, the answer is x2. If we take -x times -x, the answer is also x2.
We use the property of square roots that says the square root of (ab)=square root (a) multiplied by square root of b So square root (4x)=square root (4) mutiplies by square root of x =2(square root (x)) 2sqrt(x)
2X * 2X * 2X = 8X^3 2X^3 is saying 2*( X * X * X) = 2X^3