Question

find the square root of each of the following numbers using repeated subtraction . 324
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Answer 1

Answer:

Every square number can be expressed as a sum of successive odd natural numbers starting from 1.

• 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

hence to get 0 we subtracted 18 odd no's

hence square root is 18