Find the least number of four digits which is a perfect square. Also find the square root of the number so obtained.

We have,

Smallest number of 4 digits = 1000


Using the long division method, we have



From long division method it is clear that, 1000 is not a perfect square and the obtained square root is between 31 and 32


So, by squaring the next integer we will get the perfect square


(32)2 = 1024


Thus, 1024 is the smallest four digit perfect square


As,


= 32


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