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Square Root Calculator

Calculate the square root, cube root, or any nth root of a number instantly. Supports both perfect squares and irrational results with high decimal precision.

Used 35.7K times today

How to Use Square Root Calculator

  1. 1

    Enter the number

    Type the value you want to find the root of into the main input field.

  2. 2

    Choose the root degree

    Select square root (n=2), cube root (n=3), or enter any custom degree in the root field.

  3. 3

    Read the result

    The root is displayed to high decimal precision. For perfect roots the exact integer result is highlighted.

Frequently Asked Questions

What is a square root?
The square root of a number X is a value Y such that Y × Y = X. For example, √25 = 5 because 5 × 5 = 25.
What is the square root of a negative number?
In the real number system, the square root of a negative number is undefined. Complex (imaginary) numbers handle this case using the imaginary unit i, where i = √(−1).
How do I calculate a cube root?
Set the root degree to 3. The cube root of X is a value Y such that Y³ = X. For example, ∛27 = 3 because 3 × 3 × 3 = 27.

About Square Root Calculator

The Square Root Calculator on Utilko handles square roots, cube roots, and any custom nth root with high-precision decimal output. Whether you need an exact integer for a perfect square or a precise irrational result for geometry, physics, or algebra, the answer appears the moment you type.

Understanding roots is fundamental in mathematics — they appear in the Pythagorean theorem, quadratic equations, standard deviation, and engineering formulas. This calculator removes the tedium of root computation so you can focus on applying the result in your work or study.

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