Integers and Square Roots

Question

Between which two Integers is √99 ?

Answer 1

Between which two Integers is √99 ?

To find which two integers √99 is between, we need to find the perfect square above and below 99. As a reminder, the first 11 perfect squares are as follows:

0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100

The perfect squares right below and right above the number 99 are: 81 and 100

Now, we will take the square roots of these numbers.

The square root of 81 is 9, and the square root of 100 is 10.

Therefore, √99 is between the integers 9 and 10.

Answer 2

81 < 99 < 100

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

9 < sqrt(99) < 10

Sqrt(99) is between 9 and 10.

Answer 3

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.