Question

Find the square root of 100 and 169 by the method of repeated subtraction

Answer 1

100-1=99
99-3=96
96-5=91
91-7=84
84-9=75
75-11=64
64-13=51
51-15=36
36-17=19
19-19=0
No of steps =10
So square root of 100 is 10

169-1=158
168-3=165
165-5=160
160-7=153
153-9=144
144-11=133
133-13=120
120-15=105
105-17=88
88-19=69
69-21=48
48-23=25
25-25=0
No of steps = 13
So square root of 169 is 13