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CHAPTER 11--ARITHMETICAL OPERATIONS.
16
Square Root. The rule of work in relation to the operation of (oxtracting) the square root, which is the fourth (of the parikarman operations) is as follows:
36. From the (number represented by the figures up to the) last odd place (of notation counted from tho right), subtract the (highest possible) square number; then multiply the root (of this number) by two, and divide with this (product the number represonted by taking into position the figure belonging to the (next) even place; And then the square of the quotient (80 obtained) is to be subtracted from the number represented by taking into position the figure belonging to the next) old place. (If it is so continued till the end), the half of the (last) doublert quantity (conues to be the rosulting syuare root.
Examplex in illustratiom thereof. 37. O friend, tell mo quickly the roots of the squares of the numbers from 1 to 9, and of 256 and 570.
38. Find out the square root of 6501 and of 08536. 39. What are the square roots of 4294967296 and 622521 P 40. What are the square roots of 63664441 and 1771501 P
41. Tell me, friend, after considering well, tho rquare roots of 1296 and 625.
36. To illustrate the rule, the following example in worked out below:To extract the quare root of 65738
0155 36
2 x 2-4)5(
20
5
-
65 25
25 2 - 50)8036
30/0)
86
6* -
88
266 * 2 - 612) 0 (0
612
Square root required - "
00
- 256,
