What is the square root of 625?

The square root of 625 is 25. This is because 25 multiplied by itself equals 625: 25 × 25 = 625. In other words, 25 is the positive number that produces 625 when squared.

A square root reverses the operation of squaring. Since both 25 × 25 and −25 × −25 equal 625, the equation x² = 625 has two solutions, 25 and −25. However, the phrase “the square root” conventionally means the principal, non-negative square root, so the quiz answer is 25.

The number 625 is also a perfect square. It is the 25th square number because 25² = 625, and it can be factored as 5⁴. A useful neighbouring fact is that √625 can also be found by recognizing that 625 = 25 × 25.