Integers and Square Roots

Question

Between which two Integers is √99 ?

Answer 1

81 < 99 < 100

sqrt(81) < sqrt(99 < sqrt(100)

9 < sqrt(99) < 10

Sqrt(99) is between 9 and 10.

Answer 2

The closest perfect integer square les than 99 is 81, which is 9².

The closest perfect integer square greater than 99 is 100, which is 10².

So 81 < 99 < 100.