Calculator Online with Square Root

.calculator-container { width: 300px; margin: 20px auto; border: 1px solid #ccc; border-radius: 5px; box-shadow: 0 0 10px rgba(0,0,0,0.1); font-family: Arial, sans-serif; background-color: #f9f9f9; } .calculator-display input { width: calc(100% – 20px); padding: 10px; font-size: 2em; text-align: right; border: none; background-color: #222; color: #fff; border-top-left-radius: 5px; border-top-right-radius: 5px; box-sizing: border-box; } .calculator-buttons { display: grid; grid-template-columns: repeat(4, 1fr); gap: 1px; background-color: #ccc; /* For button separation lines */ } .calculator-buttons button { padding: 15px; font-size: 1.2em; border: none; background-color: #eee; cursor: pointer; transition: background-color 0.2s; } .calculator-buttons button:hover { background-color: #ddd; } .calculator-buttons button:active { background-color: #ccc; } .calculator-buttons button.span-two { grid-column: span 2; } .calculator-buttons button:nth-child(4n), /* Operators */ .calculator-buttons button:nth-child(16) /* Square root */ { background-color: #f0a000; color: #fff; } .calculator-buttons button:nth-child(4n):hover, .calculator-buttons button:nth-child(16):hover { background-color: #e09000; } .calculator-buttons button:nth-child(1) { /* Clear button */ background-color: #d9534f; color: #fff; } .calculator-buttons button:nth-child(1):hover { background-color: #c9302c; } .calculator-buttons button:last-child { /* Equals button */ background-color: #5cb85c; color: #fff; } .calculator-buttons button:last-child:hover { background-color: #4cae4c; } var display = document.getElementById('display'); var currentInput = '0'; var previousInput = null; var operator = null; var waitingForSecondOperand = false; function updateDisplay() { display.value = currentInput; } function appendNumber(num) { if (waitingForSecondOperand) { currentInput = num; waitingForSecondOperand = false; } else { if (num === '.' && currentInput.includes('.')) { return; // Prevent multiple decimal points } if (currentInput === '0' && num !== '.') { currentInput = num; } else { currentInput += num; } } updateDisplay(); } function chooseOperator(op) { if (previousInput === null && currentInput !== ") { previousInput = parseFloat(currentInput); } else if (previousInput !== null && currentInput !== " && !waitingForSecondOperand) { calculate(); // Perform previous operation if chaining previousInput = parseFloat(currentInput); // Update previousInput with the result } operator = op; waitingForSecondOperand = true; updateDisplay(); // Display current number before operator is applied } function calculate() { if (previousInput === null || operator === null || currentInput === ") { return; // Not enough operands or operator } var current = parseFloat(currentInput); var result; switch (operator) { case '+': result = previousInput + current; break; case '-': result = previousInput – current; break; case '*': result = previousInput * current; break; case '/': if (current === 0) { currentInput = 'Error: Div by 0'; previousInput = null; operator = null; waitingForSecondOperand = false; updateDisplay(); return; } result = previousInput / current; break; default: return; } currentInput = result.toString(); previousInput = null; operator = null; waitingForSecondOperand = true; // Ready for new operation or chaining updateDisplay(); } function squareRoot() { var num = parseFloat(currentInput); if (isNaN(num)) { currentInput = 'Error'; } else if (num < 0) { currentInput = 'Error: Negative'; } else { currentInput = Math.sqrt(num).toString(); } previousInput = null; // Reset for new calculation after sqrt operator = null; waitingForSecondOperand = true; updateDisplay(); } function clearDisplay() { currentInput = '0'; previousInput = null; operator = null; waitingForSecondOperand = false; updateDisplay(); } // Initialize display updateDisplay();

Online Square Root Calculator

Welcome to our easy-to-use online calculator, specifically designed to help you perform basic arithmetic operations and quickly find the square root of any number. Whether you're a student, an engineer, or just need to crunch some numbers, this tool provides a straightforward way to get your results.

What is a Square Root?

In mathematics, a square root of a number 'x' is a number 'y' such that y² = x. In simpler terms, when you multiply 'y' by itself, you get 'x'. For example, the square root of 9 is 3, because 3 × 3 = 9. Every positive number has two square roots: one positive and one negative. However, in most practical applications, especially with calculators, we refer to the principal (positive) square root.

  • Perfect Squares: Numbers like 4, 9, 16, 25, etc., have integer square roots (2, 3, 4, 5).
  • Irrational Square Roots: Many numbers, like 2, 3, 5, do not have integer square roots. Their square roots are irrational numbers, meaning they cannot be expressed as a simple fraction and have infinite non-repeating decimal expansions (e.g., √2 ≈ 1.41421356).

How to Use the Calculator

Our calculator is intuitive and works just like a physical calculator. Here's a quick guide:

  1. Basic Operations (+, -, *, /):
    • Enter the first number using the digit buttons.
    • Click on the desired operator (+, -, *, /).
    • Enter the second number.
    • Click the '=' button to see the result.
    • You can chain operations: after getting a result, you can immediately click another operator and enter a new number.
  2. Square Root (√):
    • Enter the number you want to find the square root of.
    • Click the '√' button. The display will immediately show its square root.
    • Note: The calculator will display an "Error: Negative" if you try to find the square root of a negative number, as real numbers do not have real square roots for negative numbers.
  3. Clear (C):
    • Click the 'C' button to clear the display and reset all ongoing calculations.
  4. Decimal Point (.):
    • Use the '.' button to enter decimal numbers.

Examples of Use

Let's look at some practical examples:

  • Simple Addition:
    Input: 5 + 3 =
    Output: 8
  • Multiplication with Decimals:
    Input: 2.5 * 4 =
    Output: 10
  • Finding a Square Root:
    Input: 144 √
    Output: 12
  • Square Root of a Non-Perfect Square:
    Input: 2 √
    Output: 1.4142135623730951 (or similar, depending on precision)
  • Chained Operations (Left-to-Right Evaluation):
    Input: 10 + 5 * 2 =
    Output: 30 (because 10+5=15, then 15*2=30. This calculator processes operations in the order they are entered, not following PEMDAS/BODMAS rules for order of operations.)
  • Square Root in a Calculation:
    Input: 25 √ + 7 =
    Output: 12 (because √25=5, then 5+7=12)

This calculator is a handy tool for quick calculations, especially when you need to deal with square roots without reaching for a scientific calculator or a complex software. Enjoy using it for your mathematical needs!

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