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Find the squares of the following numbers by visual method:(i) 52 (ii) 95 (iii) 505 (iv) 702 (v) 99 |
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Answer» (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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