Answer:-

To see the number of digits in the square root of a number, first let's check the maximum and minimum squares of numbers with differrent digits.

So if the square root of a number has 1 digit, it will between 1 and 100

If the square root of a number has 2 digits, it will lie between 100 and 10,000.

If the square root of a number has 3 digits, it will lie between 10,000 and 10,00,000.

If the square of a number lies between 10,00,000 and 10,00,00,000 , then the number has 4 digits.

Solution:-

81 lies between 10 and 100,

will have 1 digit.

169 lies between 100 and 10,000

will have 2 digits.

6561 lies between 100 and 10,000

will have 2 digits.

2,73,529 lies between 10,000 and 10,00,000.

will have 3 digits.

10,14,049 lies between 10,00,000 and 10,00,00,000

will have 4 digits.

Verified answer

1. 81. (9*9)
2. 169. (13*13)
3. 6561. (81*81)
4. 273529. (523*523)
5. 1014049. (1007*1007)

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