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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Updated on: 10-Oct-2022

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