Square Root of 225

The square root of a number is a value that, when multiplied by itself, gives the original number. To find the square root of 225, we need to determine what number, when squared, equals 225.

Calculating the Square Root

We can calculate the square root of 225 using various methods, including factoring, estimation, or using a calculator. The most straightforward method is to recognize that 225 is a perfect square, meaning it is the square of an integer.

Perfect Squares

A perfect square is the result of multiplying an integer by itself. For example, 16 is a perfect square because 4 * 4 = 16. Similarly, 225 is a perfect square because 15 * 15 = 225.

The square root of 225 can also be represented mathematically as √225 = 15. This notation is widely used in mathematics and science to denote the square root of a number.

Applications of Square Roots

Square roots have numerous applications in various fields, including mathematics, physics, engineering, and computer science. They are used to solve equations, calculate distances, and model real-world phenomena.

Geometry and Trigonometry

In geometry and trigonometry, square roots are used to calculate distances, heights, and lengths of objects. For example, the Pythagorean theorem uses square roots to calculate the length of the hypotenuse of a right-angled triangle.

In conclusion, the square root of 225 is 15, which is a fundamental concept in mathematics with numerous applications in various fields.