14: SQUARING - GENERAL

SUTRA (Algorithm):

Write from RIGHT side to left

Left2 | 2 x Product | Right2

RIGHT-Right-side digit
LEFT-Rest of the digits
PRODUCT-RIGHT x LEFT

Demonstrations:

(1) 322 = ?

322 = 32 | 2x3x2 | 22
322 = 9 | 12 | 4
322 = 10 | 12 | 4
322 = 1024

(2) 672 = ?

672 = 62 | 2x6x7 | 72
672 = 36 | 84 | 49
672 = 44 | 88 | 49
672 = 4489

(3) 1272 = ?

1272 = 122 | 2x12x7 | 72
1272 = 144 | 168 | 49
1272 = 161 | 172 | 49
1272 = 16129

(4) 6172 = ?

6172 = 3721 | 854 | 49
6172 = 380685849

Verify, by ACTUAL WORKING:

  1. 232 = 5 12 9
  2. 682 = 46 102 64
  3. 472 = 22 60 49
  4. 1232 = 151 72 9
  5. 2542 = 645 201 16