Is 49 a perfect square?

Is 49 a Perfect Square?

Yes, 49 is indeed a perfect square. A perfect square is a number that results from multiplying an integer by itself. In this case, 7 times 7 equals 49, making it a clear example of a perfect square.

The list provided in the answer contains a small error—there aren’t ten perfect squares between 1 and 10. In fact, there are only three in that range: 1 (1²), 4 (2²), and 9 (3²). The confusion might stem from mixing up the range. When we expand to numbers from 1 to 100, the perfect squares are: 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100—ten in total.

So while the statement about eight perfect squares between 1 and 100 (excluding 1 and 100) is correct, the claim about ten perfect squares from 1 to 10 is not. It’s an easy mix-up, but important to clarify.

Perfect squares become less frequent as numbers grow larger, but they still pop up in surprising places—like in geometry, algebra, and even in everyday problem-solving. Recognizing them helps simplify expressions and solve equations more efficiently.

And yes—49 stands proudly among them, a solid, unmistakable perfect square rooted in the simple power of 7 squared.