Question

find the square root of 324​

Answer 1

Answer:

Method 1

324 = 2 * 2 * 9 * 9

So,

324 = 2² * 9²

\sqrt{324} = \sqrt{2^{2}\times 9^{2}}

324

=

2

2

×9

2

So, by taking a pair of the same number we get,

The square root of 324 is 18

METHOD 2

By repeated subtraction

324 - 1 = 323

323 - 3 = 320

320 - 5 = 315

315 - 7 = 308

308 - 9 = 299

299 - 11 = 288

288 - 13 = 275

288 - 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,

There are total 18 steps so,

Square root of the 324 is 18

Answer 2

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