The square root of 424 is a value that, when multiplied by itself, gives the number 424. Mathematically, it is represented as √424. It can be calculated using a calculator or by finding the value that, when multiplied by itself, gives 424. The square root of 424 is a non-negative real number and it can be represented by decimal or fractions. The decimal representation of the square root of 424 is approximately 20.58 .

## Contents

Also, it is possible to find the square root of 424 by finding the prime factorization of 424 and grouping the factors in pairs of two. Using this method, it can be simplified as √(2^2 * 106) = 2√106 which is the same as 20.58.

## How to Find Square Root of 424?

There are a few different methods to find the square root of 424:

### Prime factorization

This method involves finding the prime factorization of 424 and grouping the factors in pairs of two. For example, 424 = 2^2 * 106. The square root of 424 is then √(2^2 * 106) = 2√106 which is the same as 20.58

### Long division method

This method involves dividing the number whose square root is to be found, in this case 424, by a number that is as close as possible to the square root.

### Using a calculator

This is the simplest method to find the square root of 424. Simply enter the number 424 into a calculator and press the square root button to get the answer, which is approximately 20.58.

### Approximation Method

One can also find an approximate value of square root using approximation method. we can also find the square root of 424 by finding the number whose square is just less than 424 and the number whose square is just greater than 424. Then take the average of these two numbers, which will be an approximation of the square root of 424.

Ultimately, all these methods will give you an approximate value of the square root of 424 which is 20.58.