Find the squares of the following numbers by visual method:

(i) 52 (ii) 95


(iii) 505 (iv) 702


(v) 99

(i) 52, (52)2 = (50 + 2)2

= 502 + 22 + (2 × 50 × 2)


= 2500 + 4 + 200


= 2704


(ii) 95, (95)2 = (100 - 5)2


= 1002 + 52 - (2 × 5 × 100)


= 10000 + 25 - 1000


= 9025


(iii) 505, (505)2 = (505 + 5)2


= 5002 + 52 + (2 × 500 × 5)


= 250000 + 25 + 5000


= 255025


(iv) 702, (702)2 = (700 + 2)2


= 7002 + 22 + (2 × 700 × 2)


= 140000 + 4 + 2800


= 142804


(v) 99, (99)2 = (100 - 1)2


= 1002 + 12 - (2 × 100 × 1)


= 10000 + 1 - 200


= 9301


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