root of this number, and mark off the given number of decimals. Or, more simply: Divide the number into periods, so that the units’ figure shall be the last of a period; proceed in the usual way; and if, when decimals follow the units’ place, there is one figure on the right, in a period by itself, annex a cipher in bringing down that period, and afterwards let each new period consist of two ciphers. Place the decimal point after that figure in forming which the period containing the units was
- For example, what is the square root of (1⅜) to five places of decimals? This is (145) 1·375, and the process is the first example over leaf. The second example is the extraction of the root of ·081 to seven places, the first period being 08, from which the cipher is omitted as useless.
- 1,37,5(1·17260
- 1
- 21) 37
- 21
- 227) 1650
- 1589
- 2342) 6100
- 4684
- 23446) 141600
- 140676
- 23452) 92400
- 8,1(·2846049
- 4
- 48)410
- 384
- 564) 2600
- 2256
- 5686) 34400
- 34116
- 569204) 2840000
- 2276816
- 569208) 56318400
- ·000002413672221(·001553599
- 1
- 25) 141
- 125
- 305) 1636
- 1525
- 3103) 11172
- 9309
- 31065) 186322
- 155325