Question

Insert two irrational numbers between the following: 

4 and 6

Answer 1

Given: Insert two irrational numbers between 4 and 6.

Step wise calculation:

1. Identify two irrational numbers whose values lie strictly between 4 and 6.

2. Since `sqrt(16) = 4` and `sqrt(25) = 5` and `sqrt(36) = 6`, choose irrational numbers like `sqrt(17)` and `sqrt(18)`, because:

`sqrt(17) ≈ 4.1231`, which is between 4 and 6.

`sqrt(18) ≈ 4.2426`, which is also between 4 and 6.

Two irrational numbers between 4 and 6 are `sqrt(17)` and `sqrt(18)`.