Let’s do this by example

Square root of 529 by long division

36.jpg

 

Therefore,

Square root of 529 = 23

 

Individual Steps are explained

 

Step 1:

  • Write the number
  • We make pairs from right.

So, 29 is a pair, but 5 is not in pair.

Finding square root by division method - Integers - Part 2

 

Step 2:

Now we find that number whose

square is less than or equal to 5.

1 × 1 = 1

2 × 2 = 4

3 × 3 = 9

Since 9 > 5, we use 2 × 2.

Finding square root by division method - Integers - Part 3

 

So writing 2 on left side & top.

& 4 below 5

Now we find remainder,

5 − 4 = 1

Finding square root by division method - Integers - Part 4

 

Step 3

Pair 29 comes down.

Finding square root by division method - Integers - Part 5

 

Step 4

We multiply the number above by 2

& add a blank after it

So, we write 2 × 2 = 4

4 _

Finding square root by division method - Integers - Part 6

 

Step 5

Find a number which is less than

Or equal to 129

41 × 1 = 41

42 × 2 = 84

43 × 3 = 129

 

Since 43 × 3 = 129. We use that

 

Thus,

Square root of 529 = 23

Finding square root by division method - Integers - Part 7

 

Square root of 4096 by long division

Finding square root by division method - Integers - Part 8

Therefore,

Square root of 4096 is 64

 

Individual Steps are explained

 

Step 1:

  • Write the number
  • We make pairs from right.

So, 96 and 40 are two pairs.

Finding square root by division method - Integers - Part 9

 

Step 2:

Now, we find that number whose

square is less than or equal to 40.

5 × 5 = 25

6 × 6 = 36

7 × 7 = 49

Since 49 > 40, we use 6 × 6 = 36

Finding square root by division method - Integers - Part 10

 

So writing 6 on top and left side

& 36 below 40

Now we find remainder,

40 − 36 = 4

Finding square root by division method - Integers - Part 11

 

Step 3

Pair 96 comes down.

Finding square root by division method - Integers - Part 12

 

Step 4

We multiply the number above

by 2 & add a blank after it

So, we write 6 × 2 = 12

12 _

Finding square root by division method - Integers - Part 13

 

Step 5

Find a number which is less than

Or equal to 496

124 × 1 = 124

124 × 2 = 248

124 × 3 = 372

124 × 4 = 496

 

Since 124 × 4 = 496. We use that

 

Thus, square root of 4096 = 64

Finding square root by division method - Integers - Part 14

 

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.