Which of the following is an irrational number between 8 and 10?
√3 is an irrational number between 8 and 10.
To find an irrational number between 8 and 10, we can consider the square root of a non-perfect square. Let's calculate the square roots of 8 and 10 to identify the irrational number between them.
The square root of 8 is √8 ≈ 2.8284.
The square root of 10 is √10 ≈ 3.1623.
Since both 2.8284 and 3.1623 are rational numbers, we need to look for a non-perfect square between 8 and 10. One such number is 9, which is the square of 3.
The square root of 9 is √9 = 3.
Therefore, the irrational number between 8 and 10 is √9, which is equal to 3.