Question

Find the square root of 169 by repeated subtraction method

Answer 1

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

since it is completely subtracted at 13th time

By repeated subtraction method

=> square root of 169 is 13

Answer 2

Answer:

square root of 169 is 13

Step-by-step explanation:

Explanation:

Repeated Subtraction  is a method that subtracts the equal number of items from a group .Using this method , the same number is subtracted repeatedly from another larger number until the remainder is zero .

Therefore , we need to subtract only consecutive odd numbers

and we stop the subtraction  when we get zero .

So , the number of steps in which we get zero  is our answer.

Step 1 :

first we subtract 1 from 169 we get ,

169 - 1 = 168

now subtract 3 from 168 we get ,

168 - 3 = 165

Similarly ,

165- 5 = 16

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

Final answer :

Hence , the square root of 169 is 13 because from 169 we subtracted successive odd numbers starting from1 and obtained 0 at the 13th step.