Q. 184.3( 20 Votes )

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

Answer :

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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