find the square root of 144 by repeated subtraction method
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Answered by
711
144-1=143
143-3=140
140-5=135
135-7=128
128-9=119
119-11=108
108-13=95
95-15=80
80-17=63
63-19=44
44-21=23
23-23=0
√144=12
143-3=140
140-5=135
135-7=128
128-9=119
119-11=108
108-13=95
95-15=80
80-17=63
63-19=44
44-21=23
23-23=0
√144=12
Answered by
171
As explained in Property 4 of Square Numbers and the square number is the sum of successive odd numbers starting from 1 and you can find square root of a number by repeatedly subtracting successive odd numbers( which is also starting from 1) from the given square number, till you get zero.
44-1=143, 143-3=140, 140-5=135, 135-7=128, 128-9=119, 119-11=108, 108-13=95, 95-15=80, 80-17=63, 63-19=44, 44-21=23, 23-23=0, √144=12.
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