Which of the following is equal to the square of $5\sqrt{2}$ ?

Correct answer marked below

5^2

25\sqrt{2}

25

25 \cdot 2

Correct

5\sqrt{2}

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Explanation

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Comments

JeyaAug 28

Wait, is the square of the whole thing or just the radical? The wording tripped me up for a sec.

FabienSep 1

Yeah I almost squared just the √2 by accident.

AryamanJun 2

This was a nice confidence booster after the last few root problems I did.

JahnaviJun 7

Wish they were all like this lol.

ValerioAug 19

Quick question: do I square the 5 and the √2 separately here? Just want to make sure I'm not missing a rule.

HarshAug 25

That's the move. Just be careful not to add them instead.

HarshAug 14

Got it right, but only after staring at C and D for way too long. Classic careless-mistake trap.

KaydenAug 24

These answer choices are sneaky for no reason.

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.

Which of the following is equal to the square of 525\sqrt{2}52​?