Square Root

According to math, square root and squares are reverse operations. The square of any numeric is the value of power 2 of the number. On the other hand, the square root of a numeral is the digit that is a product when multiplied by the same, to get a number. For instance, if p is the square root of q, it implies that p x p = q. Also, the square of any digit is always a positive number. Before introducing this concept of square root to the little ones, introduce them to the Multiplication Table for Kids, available at Osmo.

What is Square Root?

The square root of any number is the number obtained when multiplied by itself, to get an actual number. Now, let us take 16. When 4 is multiplied by itself, the product obtained is 16. In this context, the exponent is 2, it is known as a square. In this case, the exponent is ½, it is known as the square root. For instance, √(a × a) = √a2 = a, whereas, a is a positive integer.

Here is a list of square roots.

Square root of 1Square root of 11 
Squareroot of 2Square root of 12
Square root of 3Square root of 13
Square root of 4Square root of 14
Square root of 5Square root of 15
Square root of 6Square root of 16
Square root of 7Square root of 17
Square root of 8Square root of 18
Square root of 9Square root of 19
Square root of 10Square root of 20

Definition of Square Root

The square root of a digit is the value of power ½ of that number. In simple words, the square root is the number that is multiplied by itself to obtain the actual number. It is expressed as ‘ ‘.

Also, refer to Multiplication Worksheets, available at Osmo.

How to Find a Square Root?

Kids find it easy to determine the square root of a numeric that is a perfect square. Perfect squares are positive numbers that are expressed as the multiplication of a numeric by itself. Four methods that can be used to determine the square root of numbers are as follows:

  • Repeated Subtraction Method
  • Estimation Method
  • Prime Factorization Method
  • Long Division Method

Square Root Table

The square root table contains numerics and their square roots. It is helpful to determine the squares of numbers. Below provided is a list of the square roots of perfect square numbers and non-perfect square numbers starting from 1 to 10.

NumberSquare Root
11
21.41
31.73
42
52.23
62.44
72.64
82.82
93
103.16

Square Root Formula

As mentioned above, a square root is an exponent, that is ½. The formula of the square root is used to determine the square root of a number. Parents and teachers can use any of the above given methods for determining the square root, like, long division, prime factorization, subtraction and estimation. 41/2 = √4 = √(2×2) = 2. Hence, the formula for the square root of a number is √x= x1/2.

What is the Square root of a Negative number?

The square root of -y is: √(-y)= i√y. Here, i is the square root of -1. For instance, consider a perfect square number like 25. Now, determine the square root of -25. Moreover, there exists no real square root of -25. √(-25)= √25 × √(-1) = 5i (as, √(-1)= i), i is the square root of -1. Thus, 5i is a square root of -25.

Also, refer to Osmo’s Number Games for Kids.