Find the least number which must be added to each of the following numbers so as to get
a perfect square. Also find the square root of the perfect square so obtained?
a) 1825
b) 6412
explain
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a). 1825
the square root of 1825 is greater than 42 but less than 43.
mathematically, we can write:
42<√1825<43
so, the square of 43 is 1849
1849-1825
24 must be added.
b). 6412
the square root of 6412 is greater than 80 but less than 81
mathematically, we can write:
80<6412<81
so, the square of 81 is 6561
6561-6412
149 must be added
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