History of Hindu Mathematics: A Source Book v1.c8.s9.8

v1.c8.s9.8

Subtract cube 1 . . . . . . . (c) Root = 1 Divide by thrice square . . . . . of root, i.e. 3.1² 3) 9 ( 2 . . . (a)¹ Placing quotient Subtract square of quo- 6 after the root tient multiplied by - 1 gives the thrice the previous 35 root 12 root, i.e., 2². 3. 1. 12 . . . . (b) -- Subtract cube of quotient, 233 i.e., 2³ 8 . . . . (c) . . . . . Divide by thrice square of the root, i.e., 3. 12² 432) 2251 ( 5 . . (a) Placing quotient Subtract square of 2160 after the root quotient multiplied by ---- 12 gives the thrice the previous 912 root 125 root, i.e., 5². 3. 12 900 . . (b) --- Subtract cube of quo- 125 tient, i.e., 5³ 125 . . (c) --- Thus the cube-root = 125 ```