Question

3. Find the square roots of 100 and 169 by the method of repeated subtraction. with full explanation
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Answer 1

Answer:

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:

100/2

Step-by-step explanation:

100/2

=50/2=25

25/5=5

5/5=1

One pair of 2

And one pair of 5

2.5=10

Similarly 169