Find the greatest four digit number which is a perfect square.


To do: To find the greatest four digit number which is a perfect square.

Solution:

The largest $4$ digit number$=9999$

As known $100^2=10000$ or $1$ greater than the largest $4$ digit number. 

This means that the closest square root of the largest perfect square is most likely $99$. 

So $99^2=( 9801)$ is the largest perfect square of four digits.

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Updated on: 10-Oct-2022

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