What is the least number of 4-digits which is a perfect square?
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Answer:
31 2 =961
32²=1024
33 ³ =1089
34² =1156
Least number of four digits = 1000.
(32)2 is more than 1000 by 24.
So, the least number to be added to 1000 is 24.
1000 + 24 = 1024
Therefore, the smallest four digit number which is a perfect square is 1024.
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