Find the greatest number of five digits which is a perfect square. Also find the square root of the number so obtained.

We have,

Greatest five digit number = 99999

By using long division method, we get

From long division method it is clear that 99999 is not a perfect square and the square root obtained is between 316 and 317

Therefore, by squaring the smaller number we will get the perfect square that will be less than 99999

(316)2 = 99856

Hence,

99856 is the required perfect square whose square root is 316

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