Which of the following is equal to [2]x \cdot [3]x ?

Free Practice Question

PS · Problem Solving

505-555

Roots

Which of the following is equal to $\sqrt[2]{x} \cdot \sqrt[3]{x}$ ?

Correct answer marked below

\sqrt[5]{x}

\sqrt[6]{x}

\sqrt[3]{x^2}

\sqrt[5]{x^6}

\sqrt[6]{x^5}

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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.