Square Root Calculator

Calculate square roots with step-by-step solutions and perfect square identification.

Square Root Calculator

Quick Examples

How to Use

Enter Number
Input any positive number
Get Result
See exact or approximate square root
Perfect Squares
Green indicates a perfect square

Common Perfect Squares

√1
= 1
√4
= 2
√9
= 3
√16
= 4
√25
= 5
√36
= 6
√49
= 7
√64
= 8
√81
= 9
√100
= 10
√121
= 11
√144
= 12

About Square Root Calculator

A square root calculator finds the number that, when multiplied by itself, equals the given number.

Square Root Properties

Perfect Squares

Numbers like 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 have exact square roots

Irrational Numbers

Most square roots are irrational and have infinite decimal places

Negative Numbers

Real square roots don't exist for negative numbers

Zero

√0 = 0 (the only number whose square is zero)

Square Root Facts

  • • √1 = 1 (smallest perfect square)
  • • √2 ≈ 1.414213562... (first irrational square root)
  • • √4 = 2 (first even perfect square)
  • • √9 = 3 (first odd perfect square > 1)
  • • √16 = 4 (first perfect square > 9)
  • • √25 = 5 (first perfect square ending in 5)