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    				| 1. | Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also find the square root of the perfect square so obtained.(i) 402 (ii) 1989 (iii) 3250 (iv) 825(v) 4000 | 
| Answer» (i)`402 = 20^2 +2` So, if we subtract `2` from `402`, we get a perfect square and square root of the perfect square will be `20`. (ii) `1989 = 44^2+53` So, if we subtract `53` from `1989 `, we get a perfect square and square root of the perfect square will be `44`. (iii) `3250 = 57^2+1` So, if we subtract `1` from `3250 `, we get a perfect square and square root of the perfect square will be `57`. (iv) `825 = 28^2+41` So, if we subtract `41` from `825 `, we get a perfect square and square root of the perfect square will be `28`. (v)`4000 = 63^2+31` So, if we subtract `31` from `4000 `, we get a perfect square and square root of the perfect square will be `63`. | |