Exploring the Square Root Concept in a Unique Way

In this video, Square Root Concept is taught in very interesting and unique way. Student usually find it difficult to find square root of non-perfect squares like square root of 12, 18, 28, 194 etc. But after watching this video, you will definitely learn the concept in an interactive and interesting way in the form of a story.

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The square root of any number is equal to a number, which when squared gives the original number.
Let us say m is a positive integer, such that √(m.m) = √(m2) = m

In mathematics, a square root function is defined as a one-to-one function that takes a positive number as an input and returns the square root of the given input number.

f(x) = √x

For example, if x=4, then the function returns the output value as 2.

Note: The square root of a negative number represents a complex number.

Suppose √-n = i√n, where i is the imaginary number.

Square Root Symbol
The square root symbol is usually denoted as ‘√’. It is called a radical symbol. To represent a number ‘x’ as a square root using this symbol can be written as:
‘ √x ‘

where x is the number. The number under the radical symbol is called the radicand. For example, the square root of 6 is also represented as radical of 6. Both represent the same value.

Square Root Formula
The formula to find the square root is:

y = √a
Since, y.y = y2 = a; where ‘a’ is the square of a number ‘y’.


Properties of Square root
Some of the important properties of the square root are as follows:

If a number is a perfect square number, then there exists a perfect square root.
If a number ends with an even number of zeros (0’s), then it can have a square root.
The two square root values can be multiplied. For example, √3 can be multiplied by √2, then the result should be √6.
When two same square roots are multiplied, then the result should be a radical number. It means that the result is a non-square root number. For instance, when √7 is multiplied by √7, the result obtained is 7.
The square root of any negative numbers is not defined. Because the perfect square cannot be negative.
If a number ends with 2, 3, 7 or 8 (in the unit digit), then the perfect square root does not exist.
If a number ends with 1, 4, 5, 6 or 9 in the unit digit, then the number will have a square root.