CalculatorCast

Square Root Calculator

Find the square root and see the simplified radical form.

Introduction

Square Root Calculator — Find the square root and see the simplified radical form. Enter Number to get an instant, accurate result.

Formula

√n, plus the simplified radical form (e.g. √50 = 5√2) found by extracting perfect-square factors.

Step-by-step

  1. Enter the Number.
  2. Click Calculate to see your result instantly.

Real-world example

Example: With Number = 144, the Square Root Calculator gives Decimal: 12, Simplified: 12.

Frequently Asked Questions

What happens with a negative number?
The calculator only returns a real decimal square root for non-negative numbers.
What does the "simplified" result mean?
It's the radical written with the largest perfect-square factor pulled out front, e.g. √50 = 5√2.
What inputs does the Square Root Calculator need?
You'll need to provide: Number. All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Square Root Calculator?
The Square Root Calculator applies the formula exactly as calculated — √n, plus the simplified radical form (e.g. √50 = 5√2) found by extracting perfect-square factors. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Square Root Calculator free to use?
Yes, the Square Root Calculator is completely free, requires no signup, and runs instantly in your browser.

About the Square Root Calculator

The Square Root Calculator uses a real, verifiable formula — √n, plus the simplified radical form (e.g. √50 = 5√2) found by extracting perfect-square factors. — so results are accurate every time, not an approximation.