Multiple choice general knowledge math & puzzles

What is the set of positive numbers that results in whole numbers when raised to the power of one-half?

  1. Triangular

  2. Square

  3. Cubic

  4. Noe of the above
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

When a number is raised to the power of one-half (which means taking its square root), it results in a whole number only if the original number is a perfect square. Square numbers (1, 4, 9, 16, 25, etc.) are the set of positive integers whose square roots are whole numbers.

AI explanation

Raising a number to the power of one-half is the same as taking its square root, and square roots come out as whole numbers only for perfect squares (1, 4, 9, 16, ...). So the set described is the square numbers. Triangular and cubic numbers don't have this square-root property in general.

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