Question

find the square root of 169 by repeated subtraction method​

Answer 1

   100 - 1 = 99. 99 - 3 = 96. 96 - 5 = 91. 91 -7 = 84. 84 - 9 = 75. 75 - 11 = 64. ...

   We get 0 at 10th step. Hence,10 is the square root of 100.

   √100 = 10.

   √169 by Repeated subtraction:

   169 - 1 = 168. 168 - 3 = 165. 165 - 5 = 160. 160 - 7 = 153. 153 - 9 = 144. ...

   We get 0 at 13th step. Hence,13 is the square root of 169.

Answer 2

Answer:

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Solution:- 169

(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

Here, We get 0at 13th step.

√169=13.