Number Square root Number of digits in square root
36 6 1
144 12 2
169 13 2
441 21 2
6084 78 2
4356 66 2
10201 101 3

Let n = Number of digits of number

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Let’s do some examples

Find number of digits in square root of 529.

Number of digits of 529 = n = 3

Since n is odd

∴ Number of digits in square root = (n  +   1)/2

      = (3 +  1)/2=4/2= 2

 

Find number of digits in square root of 102012.

Number of digits of 102012 = n = 6

Since n is even

∴ Number of digits in square root = n/2 

       = 6/2 = 3

  1. Chapter 6 Class 8 Squares and Square Roots
  2. Concept wise
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.