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What is the equivalent to the product below when x>_0?
√5x² •√15x²

User MrGray
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1 Answer

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To simplify the product √(5x²) • √(15x²) when x ≥ 0, we can combine the square roots and simplify the expression.

√(5x²) • √(15x²) = √(5x² * 15x²)

Using the property of square roots that √(a * b) = √a * √b, we can simplify further:

√(5x² * 15x²) = √(5 * 15 * x² * x²)

Next, we simplify the numerical part:

√(5 * 15 * x² * x²) = √(75 * x² * x²)

Since x ≥ 0, x² is always non-negative, so we can remove the square root:

√(75 * x² * x²) = x * x * √75

Finally, we simplify the square root of 75:

x * x * √75 = x² * √75

Therefore, the equivalent expression is x² * √75 when x ≥ 0.
User Bschauer
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