By Sutra Sankaiana – Viyavkalan find the square of the following:(i)

1.	By Sutra Sankaiana – Viyavkalan find the square of the following:(i) 23(ii) 38(iii) 69(iv) 89
Answer» (i) 23 23² = (23 + 3)(23 – 3) + 3² = 26 × 20 + 3² = 520 + 9 = 529 (ii) 38 38² = (38 + 8)(38 – 8) + (8)² = (46 × 30) + 64 = 1380 + 64 = 1444 (iii) 69 69² = (69 + 9)(69 – 9) + 9² = (78)(60) + 81 = 4680 + 81 = 4761 (iv) 89 89² = (89 + 9)(89 – 9) + 9² = (98)(80) + 81 = 7840 + 81 = 7921

By Sutra Sankaiana – Viyavkalan find the square of the following:(i) 23(ii) 38(iii) 69(iv) 89

Answer»

(i) 23

23² = (23 + 3)(23 – 3) + 3²

= 26 × 20 + 3²

= 520 + 9

= 529

(ii) 38

38² = (38 + 8)(38 – 8) + (8)²

= (46 × 30) + 64

= 1380 + 64

= 1444

(iii) 69

69² = (69 + 9)(69 – 9) + 9²

= (78)(60) + 81

= 4680 + 81

= 4761

(iv) 89

89² = (89 + 9)(89 – 9) + 9²

= (98)(80) + 81

= 7840 + 81

= 7921