Square Root Calculator

How the Square Root Calculator Works

This calculator computes the square root of any positive number using the standard √x formula. It supports whole numbers, decimals, and large values. If the number is negative, the calculator will notify you that real square roots do not exist for negative inputs.

Formulas Used

The calculator uses the basic square root definition:

• Square Root: √x = the number which, when multiplied by itself, equals x
• Check: (√x) × (√x) = x
• Negative Input: √x is undefined for x < 0 (in real numbers)

Example

Find the square root of 144:

√144 = 12
Because 12 × 12 = 144