Question

Find the square root of 289 by repeat substraction method

Answer 1

Hi there

Your answer is :-

289-1=288
288-3=285
285-5=280
280-7=273
273-9=264
264-11=253
253-13=240
240-15=225
225-17=208
208-19=189
189-21=168
168-23=145
145-25=120
120-27=93
93-29=64
64-31=33
33-33=0

Thank You

Answer 2

289-1 = 288
288-3 = 285
285-5 = 280
280-7 = 273
273-9 = 264
264-11 = 253
253-13 = 240
240-15 = 225
225-17 = 208
208-19 = 189
189-21 = 168
168-23 = 145
145-25 = 120
120-27 = 93
93-29 = 64
64 -31 = 33
33-33 = 0
We reach at 0 by successive subtraction of 17 odd numbers
$∴ \: \sqrt{289} = 17$