find the greatest five-digit number that is a prfect square.
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Step-by-step explanation:
The largest 5-digit positive integer is 99999, and the square root of 99999 is approximately equal to 316.22618487405498217065397744334. So the highest integer less than the square root of 99999 is 316. So the highest 5-digit positive perfect square is the highest perfect square less than 99999, which is 316^2 = 99856.
So the lowest 5-digit perfect square and the highest 5-digit perfect square are 10000 and 99856 respectively.
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