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
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.