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What is Square Root Calculator?

The square root of a number is the value that, when multiplied by itself, gives back that original number. Some numbers — called perfect squares — have square roots that are whole numbers, while most others produce long, non-terminating decimals. This calculator finds the square root of any non-negative number you enter, whether it resolves to a clean whole number or a decimal carried out to several places.

The Square Root Formula

Result = √n, where result × result = n

Square roots are only defined for non-negative numbers within the real number system — there is no real number that, when multiplied by itself, produces a negative result (a negative times a negative is always positive, and a positive times a positive is also always positive). This is why the calculator returns an error if you enter a negative number; representing it would require imaginary numbers, which fall outside real-number arithmetic.

Worked Example

√144 — since 144 is a perfect square:

√144 = 12, because 12 × 12 = 144

√50 — since 50 is not a perfect square, the result is a non-terminating decimal:

√50 ≈ 7.07106781

Both examples use exactly the same underlying operation; the difference is simply whether the input happens to be a perfect square.

How to Use This Calculator

Enter any non-negative number into the Number field.
Click Calculate.
The square root appears instantly, rounded to several decimal places if it isn't a whole number.

💡 Tip: If you need a root other than a square root — like a cube root or fourth root — you can compute it using a fractional exponent (for example, a cube root is the same as raising a number to the power of 1/3) with our Power Calculator.

Square roots are also the building block of the discriminant formula used in solving quadratics — see our Quadratic Equation Solver for that application.

📅 Last reviewed: July 2026 · Formulas verified against RBI/SEBI/IT Dept guidelines.

√ Square Root Calculator