Square Root Calculator
Calculate the principal square root (√x) for non-negative numbers. Includes step view, result cards, and scientific-notation formatting.
Enter a non-negative value (x ≥ 0). This tool returns the principal (non-negative) √x.
Privacy: calculations run locally in your browser. No inputs are stored or transmitted.
How it works
Definition: y = √x means y² = x (principal root for x ≥ 0).
Identity: √x = x^(1/2)
Examples
- √81 = 9
- √2 ≈ 1.41421356
- √0.25 = 0.5
- √0 = 0
When to use this tool
This tool is designed for quick, practical tasks such as everyday calculations, data formatting, or simple conversions. It is best used when you need fast results without installing software or using complex tools.
When to use
- Quick checks or one-time calculations
- Validating or converting data before using it elsewhere
- Simple tasks that do not require advanced software
When not to use
- Critical financial, legal, or medical decisions
- Large-scale or automated processing
- Situations requiring guaranteed precision beyond basic validation
Always review results before using them in important contexts.
About this tool
This tool helps you perform quick utility operations directly in your browser. It runs entirely in your browser without sending data to a server.
You can use this tool when handling simple tasks without installing additional software. The results should be interpreted as a processed output based on your input data.
FAQ
- What is a square root?
The square root of x is a number y such that y² = x. This calculator returns the principal (non-negative) square root for x ≥ 0.
- Can I take the square root of a negative number here?
No. Negative inputs would produce complex numbers. This tool focuses on real-number results, so it requires x ≥ 0.
- What is the principal square root?
For x ≥ 0 there are two square roots (±√x), but the principal square root is the non-negative one shown by √x.
- How accurate is the result?
The result uses JavaScript floating-point math and is displayed with sensible rounding. Extremely large or tiny values may be shown in scientific notation.
- Does this store my inputs?
No. The calculation runs locally in your browser and does not store or transmit inputs.