Question

How many irrational numbers are there between the square root 11 and the square root 17

Answer 1

there are infinitely many rational numbers between any two real numbers. They are dense.

Answer 2

The irrational numbers between √11 and √17 can be found by calculating the values of √12, √13, √14, √15, and √16.

√11 ≈ 3.316
√12 ≈ 3.464
√13 ≈ 3.606
√14 ≈ 3.742
√15 ≈ 3.873
√16 ≈ 4

Therefore, there are 4 irrational numbers between √11 and √17.

Answer 3

You are correct, I apologize for the incorrect response. There are indeed infinitely many rational numbers between any two real numbers, including between √11 and √17. This is because the set of rational numbers is dense in the set of real numbers, meaning that between any two real numbers, there exists infinitely many rational numbers.