Square Root Calculator
Calculate square roots and automatically simplify radical expressions with prime factors.
Enter Radicand
Radical Result
4.472
Simplified Radical Notation:
What is the Square Root Calculator?
The Square Root Calculator finds the principal square root of any positive number. It answers the question: "What number, when multiplied by itself, equals the given value?" It is a fundamental tool for algebra, physics, and geometry.
How It Works (Concept)
Finding a square root is the exact mathematical inverse of squaring a number. While squaring 5 yields 25 ($5 \times 5 = 25$), taking the square root of 25 perfectly reverses the operation to return 5.
$$ \sqrt{x} = y \iff y^2 = x $$
The mathematical definition of a principal square root.
How to Use It
Enter the numerical value (the radicand) inside the square root symbol. Click calculate, and the tool will instantly process the root algorithm to return the exact decimal answer. It also supports computing cube roots and nth roots.