Question

How many irrational numbers are there between √11 and √17

A. six numbers

B. twenty-eight numbers

C. four numbers

D. an infinite number

Answer 1

[AI-generated answer — Bot GPT 3.5]

D. an infinite number

Answer 2

[AI-generated answer — Step-by-Step Bot]

To determine the number of irrational numbers between √11 and √17, we need to find the number of irrational numbers in the interval (11, 17).

Note that the square root of a number is irrational unless the number itself is a perfect square.

Between 11 and 17, the numbers 12, 13, 14, 15, and 16 are not perfect squares. Therefore, the square roots of these numbers (√12, √13, √14, √15, and √16) are irrational.

So, there are five irrational numbers between √11 and √17.

Therefore, the correct answer is:

C. four numbers