पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/२१७

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the (number represented by the figure in the next) ghuna place (after it is taken into position) the cube (of this same quotient). 54. One (figure in the various groups of three figures) is cubie: two are non-cubic Divide (the non-cubic figure) by three times the square of the cube root. From the (next) non-cubic (figure) subtract the square of the quotient (obtamed as above and) multi- plied by three times the previously mentioned (cube-root of the highest cube that can be subtracted from the previous cubie figure) and (then subtract) the cube of the (above) quotient (from the next rubie figure as taken to position; With the help of the cube-rout-figures (so) obtained (and taken into position, the procedure is) as before. Examples in illustration thereof. 55. What is the cube root of the numbers beginning with 1 and ending with 9, all cubed; and of 4913; and of 18608672 56. Extract the cube root of 13821, 36926037 and 618470208. gh... bh. consist of one or two or three figures, as the case may be. The rule mentioned will be clear from the following worked out example. To extract the cube root of 77308770.-- , . gh. ... ble. d. CHAPTER 11--ARITHMETICAL OPERATIONS ... ..... .

.. 370) .. 2 x 3 x 1 = 48 14 == 64 4 x 3 IS)133(2 (465 26

5 h. th. sh. 771308 1 3228 8 ... 42 x 5292)32207 (6 31752 1557 ... 6- 12 - 1536 19 2 216 216 ... 7.7 Cube root 126. The rule does not state what hgures constitute the rubo rout: but it is meant that the cube root is the number made up of the figures wh.ch are cubed in this operation, written down in the order from above from left to right