Procedure for calculating square root using one’s tens method

Step: 01 The given number should be a perfect square.

Step: 02 We all know, perfect square ending with 1,4,6 or 9 have two possible one digits.

As you can see in the given table :

Step: 03 Select the last two-digit of the given number i.e ‘Ones’ and ‘Tens” digit from the end.

Step: 04 For tens digit of square root, think of a number whose square is less than or equal to the remaining number

Step: 05 Multiply the numbers

Let’s take examples to understand this concept clearly

Problem: 01 Find the square root of 2304 using one tens method

Solution:

1. Select the last two digit of the given number, write possible digits of square root

ones digit of the square root is either 2 or 8

2. For tens digit of square root, think of a number whose square is less than or equal to the remaining number

So, Tens digit of square root is 4 because it’s square is less than 23

Now ,Possible square root of 2304 is either 42 or 48 [Ones digit is either 2 or 8 ]

Check 42² and 48² by actual multiplication i.e 42²=1764 and 48²=2304

So, Square root of 2304 is 48

Problem: 02 Find the square root of 3969 using ones tens method

Solution:

1. Select the last two digit of the given number, write possible digits of square root

ones digit of the square root is either 3 or 7

2. For tens digit of square root, think of a number whose square is less than or equal to the remaining number

So, Tens digit of square root is 6 because it’s square is less than 39

Now ,Possible square root of 3969 is either 63 or 67 [Ones digit is either 3 or 7 ]

Check 63² and 67² by actual multiplication i.e 63²=3969 and 67²=4489

So, Square root of 3969 is 63

Problem: 03 Find the square root of 1521 using ones tens method

Solution:

1. Select the last two digit of the given number, write possible digits of square root

ones digit of the square root is either 1 or 9

2. For tens digit of square root, think of a number whose square is less than or equal to the remaining number

So, Tens digit of square root is 3 because it’s square is less than 15

Now ,Possible square root of 1521 is either 31 or 39 [Ones digit is either 1 or 9]

Check 31² and 39² by actual multiplication i.e 31²=961 and 39²=1521

So, Square root of 1521 is 39

Problem : 04 Find the square root of 1764 using ones tens method

Solution:

1. Select the last two digit of the given number, write possible digits of square root

ones digit of the square root is either 2 or 8

So, Tens digit of square root is 4 because it’s square is less than 17

Now ,Possible square root of 1764 is either 42 or 48 [Ones digit is either 2 or 8]

Check 42² and 48² by actual multiplication i.e 42²=1764 and 48²=2304

So, Square root of 1764 is 42

Check these resources as well

- Finding square root using factorization method part 1
- Finding square root using factorization method part 2
- Square and square root class 8 notes