Square 41 to 59

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Trick Summary: 1

For any number between 41 - 59:

• Find how far it is from 50 (call it x)


• Use:
  (50 ± x)² = 2500 ± 100×x + x²

For 41,

(50 - 9)²

= 2500 - 100×9 + 9²

= 2500 - 900 + 81

= 1600 + 81

= 1681

Follow the same rule from 41 to 59

For 59

(50 + 9)²

= 2500 + 100×9 + 9²

= 2500 + 900 + 81

= 3481

 

For any number between 41 to 59:

• Find how far it is from 50 (call it x)


• Use:
  (50 ± x)² = 2500 ± 100×x + x²

Trick Summary: 2

Here Number 41 1st digit 4 do square get - 4² = 16 ,

Other side 50-41 = 9, do it Square 9²= 81

Ans = 1681

• 41²

 

412	1681	(50-41=9) 92
422	1764	(50-42=8) 82
432	1849	72
442	1936	62
452	2025	52
462	2116	42
472	2209	32
482	2304	22
492	2401	12
502	2500	02
512	2601	12
522	2704	22
532	2809	32
542	2912	42
552	3025	52
562	3136	62
572	3249	72
582	3364	82
592	3481	92