How to find the square root of 50?

Last Updated : 22 Apr, 2024

Square root of any number is a number which when multiplied by itself results in the original number. There are various methods to find the square roots, such as the prime factorization method, the long division method, etc. 50 is not a perfect square and hence its square root is easily found using the long division method.

Now let’s learn about the square root definition, and then how to calculate the square root of 50, in this article.

What is Square Root?

Square root of a number is defined as a number which when multiplied by itself gives the original number.

Suppose, a is the square root of b, then it is represented as a = √b or we can express the same equation as a² = b. Here, ’√’ this symbol we used to represent the root of numbers is termed as radical. The positive number when it is to be multiplied by itself represents the square of the number. The square root of the square of any positive number gives the original number.

For example, Square of 4 is 16, i.e. 4² = 16, and Square root of 16, √16 = 4. Since 4 is a perfect square, hence it is easy to find the square root of such numbers.

Square Root is represented as ‘√’. It is called a radical symbol. To represent a number ‘a’ as a square root using this symbol can be written as: ‘√a‘, where a is the number.