What are Square Roots?
Square roots are nothing but the inverse operation of the square i.e. if a is the square of b then, the square root of b is a. As such,
If, a2 = b
Then, √(b) = a
The square root of any number is both positive and negative i.e. √(b) = ±a. This is because the square of (a)2 = b and (-a)2 = b, so its square is both positive and negative.
For example,
- √4 = ±2
- √9 = ±3
- √16 = ±4
- √25 = ±5
Squares and Square Roots
Squares and Square roots are highly used mathematical concepts which are used for various purposes. Squares are numbers produced by multiplying a number by itself. Conversely, the square root of a number is the value that, when multiplied by itself, results in the original number. Thus, squaring and taking the square root are inverse operations.
This can be understood with the help of an example such as take q number 3 then its square is 32 = 9. Now the square root of 9 is √(9) = 3. Thus, it is evident that the square root is the inverse operation of the square.
Let’s learn more about square and square roots in this article including properties of square numbers, squares of different types of numbers, properties of square roots, etc.
Table of Content
- What is a Square of a Number?
- Square and Square Roots Table
- Representation of Square
- Squares of Negative Numbers
- Square of 2
- Properties of Square Numbers
- Square Numbers 1 to 30
- Numbers Between Squares
- What are Square Roots?
- Representation of Square Root
- Properties of Square Root
- Square Roots of Perfect Squares
- Square Root of Imperfect Squares
- Square Root of Numbers 1 to 30
- Square Roots 1 to 50 – Table
- Finding Square Roots
- Finding the square root of decimal numbers
- Interesting Patterns in Square Roots and Squares
- Adding Triangular Numbers
- Squares of 1, 11, 111, 1111…
- Squares of Numbers with 5 as a Unit Digit
- Squares and Square Roots Examples
- Square and Square Roots Class 8
- Applications of Square and Square Roots