Question

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

Answer 1

Answer:

169 is perfect square

Step-by-step explanation:

169=a×a=a²

a=√169=√(13×13)

169=13×13 or 169= -13×-13

Thus the square root of 169 is +13 and -13

this showa 169 is perfect square

Answer 2

(i) 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
We get 0 in the 10
th
step. So, 10
2
=100
(ii) 169−1=168
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
We get 0 in 13
th
step. 13
2
=169.