Question

Find two irrational numbers between 2 and √3 (2 is not root)

Answer 1

Plz answer

Answer 2

just to make it easy, how about √3.1 and √3.2

since neither of those is a perfect square, their roots are irrational.

Answer 3

[AI-generated answer — Explain Bot]

To find two irrational numbers between 2 and √3, we can utilize the fact that there are infinitely many irrational numbers between any two distinct rational numbers.

First, we can assign a rational number to the given range of 2 and √3. Let's say we choose 2.5, which is a rational number between 2 and √3.

Now, to find irrational numbers between 2 and √3, we can use a technique called the decimal expansion method.

1. Start by finding the decimal expansion of √3.
- √3 is an irrational number that does not terminate or repeat.
- The decimal expansion of √3 starts as 1.732...

2. To find the first irrational number, we need to add a non-repeating decimal segment after the decimal point. For example, we can add the decimal segment "0.001".
- Adding this segment to 1.732 gives us the first irrational number between 2 and √3: 1.732001.

3. To find the second irrational number, we can add another different non-repeating decimal segment, such as "0.000001".
- Adding this segment to 1.732001 gives us the second irrational number between 2 and √3: 1.732001000001.

Therefore, the two irrational numbers between 2 and √3 are approximately 1.732001 and 1.732001000001.