Find the square root of 324 by the method of repeated subtraction.
Solution:
We have to determine the square root of 324 by the method of repeated subtraction.
We have to subtract successive odd 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
This implies that 324 reduces to 0 after subtracting 18 odd numbers.
Therefore, the square root of 324 is 18.
✦ Try This: Find the square root of 196 by the method of repeated subtraction.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 3 Problem 133
Find the square root of 324 by the method of repeated subtraction
Summary:
The square root of 324 by the method of repeated subtraction is 18.
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