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Q.

How do you calculate the square root of 324 using repeated subtraction?

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a

15

b

18

c

16

d

20

answer is B.

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Detailed Solution

It is required to find the square root of 324 using repeated subtraction.
Subtract each succeeding odd integer starting at 1 until it reaches zero to calculate the square root using the repeated subtraction method.
324 - 1 = 323
323 - 3 = 320
320 - 5 = 315
315 - 7 = 308
308 - 9 = 299
299 - 11 = 288
288 - 13 = 275
275 - 15 = 260
260 - 17 = 243
243 - 19 = 224
224 - 21 = 203
203 - 23 = 180
180 - 25 = 155
155 - 27 = 128
128 - 29 = 99
99 - 31 = 68
68 - 33 = 35
35 - 35 = 0
After 18 steps, the odd number is subtracted one at a time starting at 1.
By using the repeated subtraction approach, the square root of 324 is 18.
Therefore, option 2 is correct.

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