Square Root Calculator

Calculate square roots and nth roots for geometry, algebra, statistics, and measurements that need reversing a power.

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Enter the number whose root you need and select the root index, using 2 for a square root, 3 for a cube root, and so on. Even roots of negative numbers do not have real-number results.

The nth root of x is the number r such that r^n = x. Formula: nth root of x = x^(1/n). For square roots, √x = x^(1/2).

Worked example

To find the side length of a square with an area of 144 square metres, calculate √144. The result is 12 metres because 12 × 12 = 144.

Common questions

Can I find the square root of a negative number?

Not within the real numbers. In complex numbers, √(-x) = i√x, where i is defined by i^2 = -1.

Can an nth root have more than one answer?

The calculator normally returns the principal root. For example, √25 returns 5, although both 5 and -5 solve the equation x^2 = 25.

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