Find the greatest number of five digits which is a perfect square.

Question:

Find the greatest number of five digits which is a perfect square. What is the square root of this number?

Solution:

The greatest 5 digit number is 99999.

$316<\sqrt{99999}<317$

$316^{2}=99856$

Thus, this is the greatest 5 digit number.

$\sqrt{99856}=316$

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