QuestionAugust 24, 2025

Simplify the radical expression. sqrt (75x^3) square

Simplify the radical expression. sqrt (75x^3) square
Simplify the radical expression.
sqrt (75x^3)
square

Solution
4.1(355 votes)

Answer

5x\sqrt{3x} Explanation 1. Factor the expression inside the radical 75x^3 = 25 \cdot 3 \cdot x^2 \cdot x 2. Simplify the square root of perfect squares \sqrt{25} = 5 and \sqrt{x^2} = x 3. Combine simplified terms 5x\sqrt{3x}

Explanation

1. Factor the expression inside the radical<br /> $75x^3 = 25 \cdot 3 \cdot x^2 \cdot x$<br />2. Simplify the square root of perfect squares<br /> $\sqrt{25} = 5$ and $\sqrt{x^2} = x$<br />3. Combine simplified terms<br /> $5x\sqrt{3x}$
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