Square Root Calculator
Free square root calculator — find √n for any number, detect perfect squares, and see exact or decimal results.
Square Root Calculator
Square Root Calculator
Enter any non-negative number
Result
Smart Insights
Personalized takeaways from your numbers.
Real-Life Examples
Perfect square
Irrational root
The Formula Behind It
√n = n^0.5Variables
- √n = n^0.5
How It Works
- Enter a non-negative number.
- View the square root in decimal form.
- Check whether the input is a perfect square.
About Square Root Calculator
The Square Root Calculator computes √n for any non-negative number, showing both exact results for perfect squares and high-precision decimal approximations for irrational roots like √2 or √3.
Perfect Squares
A perfect square has a whole-number root: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, and so on. The calculator flags these automatically.
Applications
Square roots appear in geometry (Pythagorean theorem), statistics (Standard Deviation Calculator), physics, engineering, and anywhere area-to-side-length conversions are needed. For powers and fractional exponents, use the Exponent Calculator. For full trigonometry and roots, try the Scientific Calculator.
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Continue your calculation with these free tools on Online Calculators.
Frequently Asked Questions
What is a square root?
The square root of n is a number that multiplied by itself equals n. √25 = 5 because 5 × 5 = 25.
What is a perfect square?
A number whose square root is a whole number. Examples include 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.
Can I calculate square roots of negative numbers?
Real square roots of negative numbers are undefined. This calculator works with non-negative inputs.
How accurate is the decimal result?
Results are shown to 6 decimal places. Irrational roots like √2 are approximated.
What is the square root of zero?
√0 = 0. Zero is the only number whose square root equals itself.
How is square root used in real life?
Finding side lengths from area, standard deviation calculations, Pythagorean theorem, and engineering formulas.