Frequently Asked Questions
What is a perfect square?
A non-negative integer that equals the square of an integer. Examples: 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, ...
How do I test if a large number is a perfect square?
Compute the integer square root via Newton's method on big integers and check if its square equals the original. Floating-point square root is unreliable for very large numbers.
Are negative numbers perfect squares?
No. Over the real integers a perfect square is non-negative. Over the Gaussian integers minus 1 equals i squared, but that is a different setting.
What are the perfect squares from 1 to 100?
They are 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100, the squares of 1 through 10. Each is the area of a square whose side is a whole number.
Is 0 a perfect square?
Yes, 0 is a perfect square because 0 = 0². By definition a perfect square is the square of an integer, and 0 is an integer, so it qualifies (as does every square of a negative integer, since (−3)² = 9).
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This calculator provides estimates for informational purposes only. Results are based on assumptions and may not reflect actual outcomes. Consult qualified professionals in relevant fields before making important decisions based on these results.