Which of the following is between π and √11
√10
√7
√8
√12
√10
To determine which of the numbers is between π and √11, we can approximate the values of π and √11 and compare them with the given options.
The approximate value of π is 3.14, and the approximate value of √11 is 3.32.
Now let's compare these values with the options:
- √10 ≈ 3.16 (which is between π and √11)
- √7 ≈ 2.65 (which is smaller than π)
- √8 ≈ 2.82 (which is smaller than π)
- √12 ≈ 3.46 (which is larger than √11)
Therefore, the number √10 is the only one between π and √11.
To determine which of the given numbers is between π and √11, we need to compare their values with the values of π and √11.
Let's find the approximate values of π and √11:
- π is approximately equal to 3.14159
- √11 is approximately equal to 3.31662
Now, we can compare the given numbers:
- √10 is approximately equal to 3.16228, which is between π and √11. So, √10 is the number that satisfies the condition.
- √7 is approximately equal to 2.64575, which is smaller than π. It is not between π and √11.
- √8 is approximately equal to 2.82843, which is smaller than π. It is not between π and √11.
- √12 is approximately equal to 3.46410, which is larger than √11. It is not between π and √11.
Therefore, the number between π and √11 is √10.