Find the greatest perfect square of 5 digit number

Asked by admin @ in Math viewed by 335 People

Find the greatest 5 digit number which is a perfect square.find iys square root.

Answered by admin @


The greatest 5 digit number= 99999.

First we have to find out the smallest number which should be subtracted from this number to obtain a perfect square. For this we apply the method of finding the square root of 99999 by division method.

The final remainder is 143. Hence,if we subtract 143 from 99999 then the new number will be a perfect square. Whose Square root is 316.

Hence, the required number is 99999- 143= 99856

√99856= 316

[Division is in the attachment]

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Hope this will help you....

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