Question

.Find the greatest number of four digits which is a perfect square . Find the square root of this number​

Answer 1

Question:-

Find the greatest number of 4 digits which is a perfect square & find the square root of this number.

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Solution:-

Greatest 4 digit number = 9999

By Finding the Square root of 9999 above by long division method,We find-

Remainder = 198

Since, Remainder is not 0.

So, 9999 is not a Perfect Square.

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Now, We have to find the greatest 4 digit number which is a Perfect Square.

So we have to find a number smaller than 9999 as number bigger than 9999 are 5 digit number & are greatest.

Thus, Subtract 198(Remainder) from 9999 to get a perfect square.

Perfect square = 9999-198

Perfect square = 9801

Thus,9801 is the required number.

• Square root of 9801 is above in the attachment.

Answer 2

Greatest 4 digit number = 9999

By Finding the Square root of 9999 above by long division method,We find-

Remainder = 198

Since, Remainder is not 0.

So, 9999 is not a Perfect Square.

\quad

Now, We have to find the greatest 4 digit number which is a Perfect Square.

So we have to find a number smaller than 9999 as number bigger than 9999 are 5 digit number & are greatest.

Thus, Subtract 198(Remainder) from 9999 to get a perfect square.

Perfect square = 9999-198

Perfect square = 9801

Thus,9801 is the required number.

• Square root of 9801 is above in the attachment.