If x > 0, which of the following is equal to 32x^5 ?

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PS · Problem Solving

sub-505

Roots

If $x > 0$ , which of the following is equal to $\sqrt{32x^{5}}$ ?

Correct answer marked below

2x \sqrt{8x^{4}}

16x \sqrt{2x}

4x^{2} \sqrt{2x}

Correct

8x^{2} \sqrt{2x^{2}}

8x^{4} \sqrt{4x}

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What this question tests

Your handling of square and higher roots, including simplifying radicals.

Forgetting the ± when taking a square root to solve an equation, or assuming √(a²) = a.