CBSE Class 8CBSE
Share
Notifications

View all notifications

Square Roots - Finding Square Root Through Repeated Subtraction

Login
Create free account


      Forgot password?

notes

The sum of the first n odd natural numbers is `n^2`. 
Every square number can be expressed as a sum of successive odd natural numbers starting from 1. 
Consider `sqrt 81`. Then, 
(i) 81 – 1 = 80   (ii) 80 – 3 = 77   (iii) 77 – 5 = 72   (iv) 72 – 7 = 65   (v) 65 – 9 = 56   (vi) 56 – 11 = 45     (vii) 45 – 13 = 32   (viii) 32 – 15 = 17 (ix) 17 – 17 = 0 
From 81 we have subtracted successive odd numbers starting from 1 and obtained 0 at `9^(th)` step.

S
View in app×