Square Root Calculator

A square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3, because 3 × 3 = 9.

Yes, all positive numbers have two square roots: a positive root and a negative root. For example, both 3 and -3 are square roots of 9, since 3² = 9 and (-3)² = 9. The positive root is called the principal square root.

You can use the estimation method: 1) Make an initial estimate, 2) Divide the number by your estimate, 3) Average the estimate and the result, 4) Use this average as your new estimate and repeat until you reach the desired accuracy.

A perfect square is a number that is the square of an integer. Examples include 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100. Perfect squares have exact integer square roots.

No, the square root of 2 is an irrational number. It cannot be expressed as a simple fraction and its decimal representation goes on forever without repeating. √2 ≈ 1.414213...

Find the nearest perfect squares above and below your number. The square root will be between the square roots of these numbers. For example, since 26 is between 25 and 36, √26 is between 5 and 6, closer to 5.

The square root of a negative number results in an imaginary number. For example, √(-4) = 2i, where i is the imaginary unit. In real number mathematics, negative numbers don't have real square roots.