Square Root Calculator

Calculate square roots instantly with high precision. Enter any positive number to find its square root, see the calculation steps, and verify the result. Perfect for mathematics, engineering, and everyday calculations.

Square Root Calculator

Calculate square roots with high precision using our free online calculator. Get instant results and see the calculation steps.

Features

  • Instant square root calculation
  • High precision results (8 decimal places)
  • Shows calculation steps using Newton's method
  • Copy results with one click
  • Error checking for invalid inputs
  • Mobile-friendly interface
  • No registration required

How to Use

  1. Enter any positive number
  2. Get the square root instantly
  3. Click "Show Calculation Steps" to see how the result was calculated
  4. Click the copy button to copy the result

Understanding Square Roots

A square root of a number is a value that, when multiplied by itself, gives the number. For example:

  • √4 = 2 (because 2 × 2 = 4)
  • √9 = 3 (because 3 × 3 = 9)
  • √16 = 4 (because 4 × 4 = 16)

Properties of Square Roots

  • Square roots of positive numbers always exist
  • Square roots can be rational or irrational
  • Negative numbers don't have real square roots
  • The square root of 0 is 0
  • The square root of 1 is 1

Common Applications

Mathematics

  • Solving quadratic equations
  • Geometry calculations
  • Pythagorean theorem

Science & Engineering

  • Physics calculations
  • Engineering formulas
  • Statistical analysis

Real World

  • Construction measurements
  • Financial calculations
  • Computer graphics

Why Use Our Calculator

  • Instant calculations
  • Step-by-step explanation
  • High precision
  • User-friendly interface
  • Works offline
  • Free to use