Find the least $6$ digit which is a perfect square.



To do: To find the least $6$ digit which is a perfect square.

Solution:

As known know that the least $6$ digit number is $100000$

$\Rightarrow \sqrt{100000} = 316.227766$

$100000$ is not a perfect square. to find the required answer, we need to take the next number of $316.227766$ and that is $317$.

Square of $317=317\times 317=100489$

Therefore, $100489$ is least $6$ digit number which is a perfect square.
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