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`.



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