The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3 because 3 * 3 = 9.
Mathematically, if x is the number you want to find the square root of, and y is its square root, then the relationship is expressed as:
y² = x
Or, equivalently:
y = √x
This calculator uses the built-in JavaScript Math.sqrt() function to efficiently compute the square root of any non-negative number you enter.
Why is the Square Root Important?
The concept of square roots appears in various fields:
Geometry: Calculating the length of a side of a square or the hypotenuse of a right triangle using the Pythagorean theorem (a² + b² = c², so c = √(a² + b²)).
Algebra: Solving quadratic equations where the variable is squared.
Statistics: Calculating standard deviation, which involves the square root of variance.
Physics and Engineering: Used in formulas related to motion, energy, and wave phenomena.
Computer Science: Algorithms that involve distances or magnitudes.
This calculator provides a simple and direct way to find the square root, useful for quick calculations or verifying mathematical steps in these disciplines.
How to Use
Enter any non-negative number into the "Enter a Number:" field.
Click the "Calculate Square Root" button.
The result will be displayed below.
Example: If you enter 144, the calculator will output 12, as 12 * 12 = 144. If you enter 2, the calculator will output approximately 1.4142135623730951.
function calculateSquareRoot() {
var numberInput = document.getElementById("numberToSquareRoot");
var resultDisplay = document.getElementById("result-value");
var number = parseFloat(numberInput.value);
if (isNaN(number)) {
resultDisplay.textContent = "Invalid input";
return;
}
if (number < 0) {
resultDisplay.textContent = "Cannot compute sqrt of negative number";
return;
}
var squareRoot = Math.sqrt(number);
resultDisplay.textContent = squareRoot;
}