Square Root Calculator
Find square roots and simplify radicals with steps.
Σ The Formula
Real World Examples
# About This Calculator
The Square Root of a number is a value that, when multiplied by itself, gives the original number. For example, 4 is the square root of 16 because 4 × 4 = 16. It is indicated by the radical symbol (√).
Square roots are fundamental in geometry (Pythagorean theorem, distances), algebra (solving quadratic equations), and physics. Most numbers aren't perfect squares, meaning their square root is an irrational number (a non-repeating decimal that goes on forever).
This tool simplifies radicals to their exact form (like turning √12 into 2√3) and provides the decimal approximation. Simplifying radicals is crucial for exact answers in math class.
Use this to solve right triangles, check homework, or find the side length of a square given its area.
How To Use
- Enter a non-negative number.
- Click Calculate.
- See both the exact simplified radical and the decimal value.
Frequently Asked Questions
What is a perfect square?+
Why can't I find the square root of a negative number?+
How do you simplify a radical like √12?+
Is √x always positive?+
How is square root related to exponents?+
Is Square Root Calculator free to use?+
About
The Square Root of a number is a value that, when multiplied by itself, gives the original number. For example, 4 is the square root of 16 because 4 × 4 = 16. It is indicated by the radical symbol (√).
Square roots are fundamental in geometry (Pythagorean theorem, distances), algebra (solving quadratic equations), and physics. Most numbers aren't perfect squares, meaning their square root is an irrational number (a non-repeating decimal that goes on forever).
This tool simplifies radicals to their exact form (like turning √12 into 2√3) and provides the decimal approximation. Simplifying radicals is crucial for exact answers in math class.
Use this to solve right triangles, check homework, or find the side length of a square given its area.