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Q.

What is the square root of 121 using the repeated subtraction method?


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a

11

b

12

c

13

d

14  

answer is A.

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Detailed Solution

The given number is 121.
To calculate the square root using the method of repeated subtraction, begin by subtracting each odd number starting at 1 until it reaches zero.
By using the process of repeated subtraction, lower each succeeding odd integer starting at 1 until it equals zero to determine the square root of 121.
121 - 1 = 120
120 - 3 = 117
117 - 5 = 112
112 - 7 = 105
105 - 9 = 96
96 - 11 = 85
85 - 13 = 72
72 - 15 = 57
57 - 17 = 40
40 - 19 = 21
21 - 21 = 0
After subtracting the first 11 odd numbers, we see that the number 121 is reduced to zero. So, 121 is perfect square ∴ 121 =11  .
As a result, 11 is the square root of 121.
Hence, option 1 is correct.
 
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