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What is the simplified form of -5 square root of 4 times x raised to 2 if x is more than or equal to 0?

a. -10x
b. -20x
c. -5x
d. 10x

1 Answer

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Final answer:

The simplified form of -5 square root of 4 times x raised to 2, with x greater than or equal to 0, is -10x.

Step-by-step explanation:

The question asks to simplify the expression -5 square root of 4 times x raised to 2 given that x is more than or equal to 0.

To simplify this expression, we can take the square root of 4, which is 2, and multiply by the square of x (x²), which is simply x, since x is nonnegative.

This results in -5 * 2 * x, which simplifies to -10x.

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