# JavaScript Math.sqrt() Examples [In-Depth Tutorial]

Written by - Olorunfemi Akinlua

## Using the `Math.sqrt()` method in JavaScript

`Math.sqrt()` is a built-in function in JavaScript that returns the square root of a given number. The function takes one argument, which is the number to be square rooted.

The syntax for using `Math.sqrt()` is as follows:

``Math.sqrt(number)``

where `number` is the number you want to find the square root of.

For example, to find the square root of 25, you would write:

``Math.sqrt(25) // returns 5``

Note that the `Math.sqrt()` function returns a `NaN` (Not a Number) value if the argument passed to it is negative.

### Example 1: Normal Square Root Calculation

To find the square root of 16 using `math.sqrt()` method, you can use the following code:

``````let x = 16;
let result = Math.sqrt(x);
console.log(result);
``````

Output

``````4
``````

### Example 2: Square Root of a Decimal Value

To find the square root of a decimal using `Math.sqrt()` method, you can use the following code:

``````let num = 2.25;
let squareRoot = Math.sqrt(num);
console.log(squareRoot);
``````

Output

``````1.5
``````

### Example 3: Calculating the distance between two points in a 2D plane

To calculate the distance between two points (x1, y1) and (x2, y2) in a 2D plane, you can use the following formula:

``````let x1 = 1;
let y1 = 2;
let x2 = 4;
let y2 = 6;
let distance = Math.sqrt((x2 - x1) ** 2 + (y2 - y1) ** 2);
console.log(distance);
``````

Output

``````5
``````

Here, we are using the `Math.sqrt()` method to calculate the square root of the sum of the squares of the differences between the x and y coordinates of the two points.

### Example 4: Calculating the standard deviation of an array of numbers

To calculate the standard deviation of an array of numbers, you can use the following formula:

``````let numbers = [2, 4, 6, 8, 10];
let sum = numbers.reduce((acc, val) => acc + val, 0);
let mean = sum / numbers.length;
let variance =
numbers.reduce((acc, val) => acc + (val - mean) ** 2, 0) /
(numbers.length - 1);
let stdDev = Math.sqrt(variance);
console.log(stdDev);
``````

Output

``````3.1622776601683795
``````

Here, we are using the `Math.sqrt()` method to calculate the square root of the variance of the array of numbers.

## Summary

The `Math.sqrt()` method is a built-in method in JavaScript that is used to calculate the square root of a number, and is part of the `Math` object in JavaScript. With the `Math.sqrt()` method, we can carry out a ton of mathematical operations involve square roots from standard deviation to distance between two points.

## References

Math.sqrt() - JavaScript | MDN (mozilla.org)

Olorunfemi Akinlua

He is boasting over five years of experience in JavaScript, specializing in technical content writing and UX design. With a keen focus on programming languages, he crafts compelling content and designs user-friendly interfaces to enhance digital experiences across various domains. You can connect with him on LinkedIn.

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