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Find out the six digit smallest perfect square.
Given: Smallest six digit perfect square.
To find: Here we have to find the smallest six digit perfect square.
Solution:
The smallest number of 6 digits = 100000
Now, the square root of 100000:
$\sqrt{100000}$ = 100$\sqrt{10}$ = 316.23 (As $\sqrt{10}$ = 3.1623)
Now, to be the smallest number of six digits, the number must be greater than (316.232) and it's square root must be an integer.
Now the nearest integer to 316.23 that is greater than itself is 317.
So, the smallest 6 digits perfect square will be:
3172 = 100489
So, the answer is 100489.
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