Question

find the square root of 169 by method of repeated subtraction

please tell ​

Answer 1

Answer: ★Brainly teacher★

Step-by-step explanation:

The square root of 169 can be obtained by the method of repeated subtraction as follows.

(i) 169 - 1 = 168 (ii) 168 - 3 = 165 (iii) 165 - 5 = 160 (iv) 160 - 7 = 153 (v) 153 - 9 = 144 (vi) 144 - 11 = 133

(vii) 133 - 13 = 120 (viii) 120 - 15 = 105 (ix) 105 - 17 = 88 (x) 88 - 19 = 69 (xi) 69 - 21 = 48

(xii) 48 - 23 = 25 (xiii) 25 - 25 = 0

We have subtracted successive odd numbers starting from 1 to 169, and obtained 0 at 13th step.

Therefore, √169 = 13