The square root of 225 is 15. This is because when we multiply 15 by itself, we get 225. The square root is the inverse of this operation – it tells us what number we need to multiply by itself to get the given number.
In general, the square root of a non-negative number (also known as the radicand) is another non-negative number that, when squared, equals the radicand.
There are different methods to calculate the square root of a number. One common way to find the square root of smaller numbers like 225 is to factorize the radicand into its prime factors and group them in pairs. For example:
225 = 3 x 3 x 5 x 5
Then, we take one factor from each pair and multiply them together. In this case, we take one 3 and one 5:
sqrt(225) = sqrt(3 x 3 x 5 x 5)
= sqrt[(3 x 5) x (3 x 5)]
= sqrt(3 x 5)^2
= 3 x 5
Another method to calculate square roots is to use a calculator or a computer program. Most scientific calculators have a square root button that you can press after entering the radicand. For example, on a standard Windows calculator, you can either type “sqrt(225)” or simply “225” and then click on the square root button (√).
In summary, the square root of 225 is 15. This means that 15 multiplied by itself equals 225. There are different methods to calculate square roots, such as factoring the radicand or using a calculator.