Square Root Calculator

Calculate the square root of any number with a complete step-by-step solution. The square root of a number is a value that, when multiplied by itself, gives the original number.

How to Calculate Square Root

The square root of a number n is a value x such that x × x = n. For example, √9 = 3 because 3 × 3 = 9.

Perfect Squares

Numbers like 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144 have whole number square roots.

Non-Perfect Squares

For numbers like 2, 3, 5, 7, the result is an irrational number. We can simplify as a√b form when possible (e.g., √8 = 2√2).