Mathematics in Ancient and Medieval India c5.s9.6

c5.s9.6

| | *Āryabhaṭa's method* | *Modern Method* |
| Subtract the square 2²= | □ - □ - □ / 5 4 7 5 6 ( root 2 / 4 ... (1) | · · · | / 5 4 7 5 6|234 / 4 - - (1) |
| Divide by twice the root i. e., 2×2= Subtract square of the quotient 3²=9 | .r@l 4) & 1 4 (3...(a) / & 1 2 / & 2 7 / & 9......(b)root 23 / (2) | r@l 43) & 1 4 7 / & 1 2 9...... (2) / 464 & 1 8 5 6 / & 1 8 5 6..(3) |
| Divide by twice the root i. e., 2×23=46 Subtract square of the quotient i. e., 4²=16 | .l \phantom) 1 8 5 (4......(a') / \phantom) 1 8 4 / \phantom)1 8\phantom41 6 / \phantom)1 8\phantom41 6......(b')(3) \thereforethe square-root is 234 | |