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Racine Carree Calculator

Result

√25 ≈ 5.000000

A sophisticated racine carrée (square root) calculator that computes real and complex roots with precision. Perfect for students, engineers, and math enthusiasts needing instant √x calculations with visualization.

What Is It? - Racine Carree Calculator

This digital tool calculates square roots (√x) of any real or complex number, providing:

  • Precise decimal results (up to 6 places)
  • Complex number handling (for negative inputs)
  • Interactive function graph
  • Calculation history

The Formula

The fundamental operation follows:

√x = y where y² = x

For negative numbers:

√(-x) = i√x (where i is the imaginary unit)

How to Use

  1. Input‌: Enter any number (positive/negative) in the field
  2. Calculate‌: Press enter or click the button
  3. Read‌: View the result (real or imaginary)
  4. Explore‌: Watch the graph update with your calculation point

Key Features

  • Instant computation‌: Real-time results
  • Visualization‌: Chart showing y=√x curve
  • History‌: Stores recent calculations
  • Responsive‌: Works on all devices

FAQs

Q: Can it calculate cube roots?
A: This version specializes in square (2nd) roots only.

Q: How precise are the results?
A: Results show 6 decimal places by default.

Q: Does it work offline?
A: Yes, after initial load in modern browsers.

Q: How are imaginary numbers displayed?
A: With “i” notation (e.g., √-9 = 3i)

Terminology

  • Racine carrée‌: French for “square root”
  • Radicand‌: The number under the root symbol (x in √x)
  • Principal root‌: The non-negative root of a real number
  • Imaginary unit (i)‌: Defined as √-1

Best Practices

  • For exact fractions, consider symbolic math software
  • Negative inputs automatically return complex results
  • Bookmark frequent calculations using the history feature
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