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Square Root Calculator

Calculate square roots, cube roots, nth roots, squares, cubes, and arbitrary powers of any number.

✓ Runs in your browser · Updated 2026-03-31

Enter values and click Calculate Root to see results

Calculate square roots, cube roots, nth roots, squares, cubes, and arbitrary powers of any number.

Updated: 2026-03-31

Square Root and Roots

The square root of a number x is a value y such that y² = x. The cube root gives y such that y³ = x. The nth root finds y such that yⁿ = x.

√x = x^(1/2)
∛x = x^(1/3)
ⁿ√x = x^(1/n)

Powers and Exponents

Raising a number to a power means multiplying it by itself a specified number of times. For example, 2³ = 2 × 2 × 2 = 8.

Perfect Squares (1–20)

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400

Related Tools

For complex mathematical expressions, try our Scientific Calculator. For statistical analysis, use the Standard Deviation Calculator.

Frequently Asked Questions

What is the square root of a negative number?

The square root of a negative number is not a real number. It results in an imaginary number — for example, √(-4) = 2i, where i is the imaginary unit.

How do I calculate a cube root?

A cube root of a number x is a value that, when multiplied by itself three times, gives x. For example, the cube root of 27 is 3 because 3 × 3 × 3 = 27.

What is the difference between a square root and an nth root?

A square root is the 2nd root of a number. An nth root generalises this — the nth root of x is a value that, when raised to the power n, gives x.