Which of the following options includes a rational number and an irrational number between 6–√ and 8–√?

Question

1) 2.5, π
2) 2.6¯¯¯, 7–√
3) 2.7, 9–√
4) 94, 7–√

Answer 1

The number 6–√ is approximately 4.77.

Option 2) includes the rational number 2.6¯¯¯ which is less than 4.77 and the irrational number 7–√ which is greater than 4.77.

So, the correct option is 2) 2.6¯¯¯, 7–√.