math calculator

Square Root Calculator

Find the square root of any number instantly — perfect for geometry, physics, statistics or just checking if a number is a perfect square.

Important Use Notice

Informational calculator only. Verify important outputs independently before legal, tax, medical, engineering, safety-critical, contractual, employment, or compliance use.

Estimate

Enter job values, review the estimate, then use the decision hints before ordering or quoting.

Enter a non-negative number

Estimate Results

Enter values to see the result.

Example

√16 = 4

Formula

√x = y where y² = x

The principal (positive) square root is the value y that, when multiplied by itself, gives x. Each positive number has two square roots: +y and -y.

For perfect squares (1, 4, 9, 16, 25. ), result is exact integer

Check

Forgetting that square root of negative is imaginary
Confirm that all inputs use the same unit system expected by the formula.

Next Step

FAQ

Why only show positive square root?

The principal square root (positive) is the default. The negative root is -√x.

What about square root of negative numbers?

Results in imaginary number (i√|x|). This calculator shows "undefined" for negative inputs.