Question

Insert two irrational numbers between the following:

`sqrt(3)` and `sqrt(6)`

Answer 1

To insert two irrational numbers between `sqrt(3)` and `sqrt(6)`, we can pick numbers whose square roots fall between `sqrt(3) ≈ 1.732` and `sqrt(6) ≈ 2.449`.

Two irrational numbers that fit between `sqrt(3)` and `sqrt(6)`:

`sqrt(5)`, Since `sqrt(5) ≈ 2.236`, it is between `sqrt(3)` and `sqrt(6)`.

A decimal approximation of an irrational number, such as 1.818118111..., which is an infinite, non-repeating decimal between `sqrt(3)` and `sqrt(6)`.

The two irrational numbers between `sqrt(3)` and `sqrt(6)` are `sqrt(5), 1.818118111...`