________________
GANITASÁRASANGRAHA.
31. Get the square of the last figure in the number, the order of counting the figures being from the right to the left,) and then multiply this last (figure), after it is doubled and pushed on (to the right by one notational place), by (the figures found in the remaining places. Each of the remaining figures (in the number) is to be pushed on (by one place) and then dealt with similarly. This is the method of syuaring.
Examples in illustration thereof. 32. Give out the squares of (the numbers from) 1 to 9, of 15, 16, 25, 36 and 75.
33. What will 338, 4601 and 256 become when squared ?
34. O arithmetician, give out, if you know, the squares of 65536, 12345 and 3333.
35. (Each of the numbers) 6387, and then 7135, and (then) 1022 is squarod. O clever arithmetician, tell me, after multiplying well, the value of those threo (squares).
Thus ends aquaring, the third of the operations known as Partkarman,
31. Tho pushing on to the right mentioned herein will become clear from the following worked out oxamples:
To smuaru 131.
To sqgoro 182
To square 555.
1
ili
5*
11 2 x 132x1x1 =
2 x1 x3 12x1x2
2 x 5 x 2 x 5 x 5 = 1
2 x 3 x 2
=
1121
2x 5x5=
5? =
2x9x1 =
1
|(2) (1)
(5) (8) (6) (2
11716
17 4 2 4
30
8
0
% 5
33. Here, 4661 is given am 4000 +61 +600. 35. Here, 7135 is given as 135+ (1000 x 7).
