What Is the Square Root of 2025?

The square root of 2,025 is 45. It can be hard for people to work out a square root of large numbers, such as 2,025, but there are ways to work out whether a number has a perfect square without using trial and error.

The number 2,025 ends with the number 5, so it can definitely be divided by 5, which makes 405. Dividing the 405 by 5 again results in 81, which is 9 squared. As the number has been divided by 5 twice, this shows that it can be divided by 25, which has a square root of 5. Because the results give two perfect squares, 25 and 81, one can simply multiply the square roots of 5 and 9, respectively. Five multiplied by 9 is 45.