Square Root Calculator

Calculate the square root, cube root, and nth root of any positive number, with decimal precision control.

Number

Root degree n

Result

Last updated: 2026-08-30

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FAQ

How do I calculate a square root by hand?

Use prime factorization, the long-division method, or estimate and refine: √N ≈ guess − (guess² − N)/(2·guess) (one Newton step).

What is an nth root?

The number that, raised to the power n, gives the original value. The cube root of 27 (n=3) is 3, because 3³ = 27.

What are square roots used for in real life?

Anywhere an area converts back to a length: the side of a square plot, a circle radius from area, or standard deviation from variance.

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