Square Root Calculator

What is a Square Root?

The square root of a number is a value that, when multiplied by itself, gives the number. For example, 5 is the square root of 25 because 5 × 5 = 25.

Key Features:

  • Step-by-step explanations
  • Prime factorization method
  • Practical applications
  • Geometric interpretations
  • Pythagorean theorem examples

Popular Numbers

Root of 2 Root of 3 Root of 5 Root of 7 Root of 11 Root of 13 Root of 17 Root of 19 Root of 23 Root of 29 Root of 31 Root of 37

Common Applications

Geometry

Square roots are essential in geometry for:

  • Finding side lengths of squares
  • Calculating diagonal lengths
  • Determining circle properties

Physics

Square roots appear in many physics formulas:

  • Velocity calculations
  • Wave equations
  • Energy formulas

Recent Calculations

√1 √2 √3 √4 √5 √6 √7 √8 √9 √10 √11 √12 √13 √14 √15 √16 √17 √18 √19 √20