What is a Square Root?

Square roots of a number are defined as a number which on multiplication by itself gives the original number. Suppose a is the square root of b, then it is represented as

a = √b

We can express the same equation as a² = b. Here, ’√’ this symbol we used to represent the root of numbers is termed as are.

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, the square of 4 is 16, 4² = 16, and the square root of 16, √16 = ±4. Since 4 is a perfect square, hence it is easy to find the square root of such numbers, but for an imperfect square, it’s really tricky.

To represent a number ‘a’ as a square root using this symbol can be written as: ‘√a‘, where a is the number.

The number here under the radical symbol is called the radicand. For example, the square root of 4 is also represented as a radical of 4. Both represent the same value.

Formula to find the square root is: a = √b

The arithmetic value which is used for representing the quantity and used in making calculations are defined as Numbers. A symbol like “4,5,6” which represents a number is known as a numeral. Without numbers, we can’t do counting of things, dates, time, money, etc., these numbers are also used for measurement and used for labelling.

The properties of numbers make them helpful in performing arithmetic operations on them. These numbers can be written in numeric forms and also in words.

For example, 3 is written as three in words, 35 is written as thirty-five in words, etc. Students can write the numbers from 1 to 100 in words to learn more.

There are different types of numbers, which we can learn. They are whole and natural numbers, odd and even numbers, rational and irrational numbers, etc.