14 GANITASARASANGRAHA. 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 squaring. 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, 4661 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 squared. O clever arithmetician, tell me, after multiply- ing well, the value of those three (squares). Thus ends squaring, the third of the operations known as Parikarman. 31. The pushing on to the right mentioned herein will become clear from the following worked out examples - To square 131 To square 132. 1²=== 2x1x3= 2x1x1= 3²=== 2x3x1= 1²= (2) 17 16 1²=== 2x1x3= 2x1x2= ४==== 2x3x2= (1) (¹) 12 1.7 2 4 33. Here, 4661 is given as 4000+61 +600. 35. Here, 7135 is given as 135+ (1000 x 7). To square 555 52 25 2x5x5= 2x5x5= 52=== 2x5x5= 5= 50 50 25 50 (5) (8) (5) (2) 25 30 8 025
