Question
What is a rational number not between the square root of 3 and the square root of 6?
Answers
Answered by
GPT-4o mini
To find a rational number that is not between the square root of 3 and the square root of 6, we first need to approximate these square roots.
- The square root of 3 (√3) is approximately 1.732.
- The square root of 6 (√6) is approximately 2.449.
The interval between these two numbers is approximately (1.732, 2.449).
Any rational number that is less than 1.732 or greater than 2.449 will satisfy your request. Examples include:
- A rational number less than √3: 1 (since 1 < 1.732).
- A rational number greater than √6: 3 (since 3 > 2.449).
Thus, both 1 and 3 are valid rational numbers that are not between the square root of 3 and the square root of 6.
- The square root of 3 (√3) is approximately 1.732.
- The square root of 6 (√6) is approximately 2.449.
The interval between these two numbers is approximately (1.732, 2.449).
Any rational number that is less than 1.732 or greater than 2.449 will satisfy your request. Examples include:
- A rational number less than √3: 1 (since 1 < 1.732).
- A rational number greater than √6: 3 (since 3 > 2.449).
Thus, both 1 and 3 are valid rational numbers that are not between the square root of 3 and the square root of 6.
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