What is Square Root Calculator?
A square root calculator simplifies complex mathematical calculations, providing instant results for perfect and imperfect squares. This essential math tool helps students, engineers, and professionals verify calculations, solve equations faster, and understand numerical relationships in algebra, geometry, and physics.
Calculator
Bookmark this page (Ctrl+D) or save it locally to use this calculator offline anytime!
Square Root Formula
The square root formula is expressed as: √x = y where y² = x. Calculators typically use iterative algorithms like Newton-Raphson method for precise calculations: yₙ₊₁ = (yₙ + x/yₙ)/2
How to Use
- Enter any positive number in the input field
- Click 'Calculate' button
- View instant result with calculation process
- Use 'Clear' to reset
Common Square Roots Table
| Number | Square Root |
|---|---|
| 1 | 1 |
| 4 | 2 |
| 9 | 3 |
| 16 | 4 |
| 25 | 5 |
Pros & Cons
Advantages:
- Instant accurate results
- Saves calculation time
- Handles complex numbers
- Educational reference
- Error-free calculations
Disadvantages:
- Over-reliance reduces mental math skills
- Requires internet for web versions
- Limited understanding of underlying math
- Battery dependency for physical calculators
- Potential for input errors
FAQ - Square Root Calculator
Can I calculate negative square roots?
Our calculator displays real number results. For negative inputs, it shows "Invalid input" as complex numbers require advanced math.
How accurate are the results?
Results are precise up to 10 decimal places using JavaScript's Math.sqrt() function.
Can I use this for school projects?
Absolutely! This calculator is perfect for homework, assignments, and verifying manual calculations.
What's the maximum number supported?
It handles numbers up to 10²⁰⁰, limited by JavaScript's number precision.
Why see calculation process?
Understanding the steps helps learn manual calculation methods while verifying results.