Which of the following expressions is equivalent to 3 18 I. 54 II. 162 III. 9 2

Free Practice Question

PS · Problem Solving

505-555

Roots

Which of the following expressions is equivalent to $3 \sqrt{18}$

I. $\sqrt{54}$
II. $\sqrt{162}$
III. $9 \sqrt{2}$

Correct answer marked below

I only

II only

III only

II and III only

Correct

I, II and III

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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.