What are Square Roots?
Square root of a number is a value that, when multiplied by itself, gives the original number. It is represented using the symbol ‘√’. The number under the square root symbol is called the radicand.
The square root of a number can be found by looking for a number that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3 because 3 multiplied by itself equals 9.
Some Common Square Roots
Some common square root values are:
Number | Square Root |
---|---|
1 | 1 |
2 | 1.414 |
3 | 1.732 |
4 | 2 |
5 | 2.236 |
6 | 2.449 |
7 | 2.646 |
8 | 2.828 |
9 | 3 |
10 | 3.162 |
How to Find the Square Root of Any Number?
There are several methods for finding the square root of a number, including
- Repeated Subtraction Method
- Prime Factorization Method
- Estimation Method
- Long Division Method
In this article, we will discuss two common methods i.e., Repeated Subtraction Method and Prime Factorization Method in detail with solved examples.
Finding Square Root Through Prime Factorization and Repeated Subtraction
Square Root is the one of the many arithmetic operations in mathematics. Square root can be calculated using various methods in mathematics such as long division, prime factorization, repeated subtraction, etc. In this article, we will discuss methods of calculation of square root using prime factorization and repeated subtraction method.
Table of Content
- What are Square Roots?
- Square Root by Prime Factorization
- Square Root by Repeated Subtraction
- FAQs