Which of the following is between π and 11−−√?
7–√
12−−√
8–√
10−−√
wrong. √8 = 2.828, so it is less than π
You are correct, I apologize for the error. The correct answer is 10−−√, as it is greater than π (approximately 3.14159) but less than 11−−√ (approximately 3.31662). Thank you for pointing out the mistake.
To determine which number is between π and 11−−√, we can compare each of the given numbers one at a time.
Let's compare π to each of the given numbers:
π is approximately 3.14159.
Next, we compare π to each of the given numbers:
7–√ is approximately 4.64575, which is larger than π.
12−−√ is approximately 3.46410, which is between π and 11−−√.
8–√ is approximately 4, which is larger than π.
10−−√ is approximately 3.16228, which is larger than π.
Therefore, the number between π and 11−−√ is 12−−√.