Which of the following is between π and √11
A. √12
B. √8
C. √7
D. √10
To determine which option is between π and √11, we need to find the values of π and √11.
The approximate value of π is 3.1416.
To find the exact value of √11, we can square different numbers until we find one that is close to 11.
2 squared is 4
3 squared is 9
4 squared is 16
So, √11 is between 3 and 4.
Comparing the values:
π is approximately 3.1416
√11 is between 3 and 4
Since 3.1416 is less than 3, and √11 is between 3 and 4, the value of π is less than √11.
Therefore, the only option that is between π and √11 is √10.
So, the answer is D. √10.
To determine which of the options is between π and √11, we can compare their values.
The value of π is approximately 3.14159.
To find the value of √11, we perform the following calculation:
√11 ≈ 3.3166
Now, let's compare the given options:
A. √12 ≈ 3.4641
B. √8 ≈ 2.8284
C. √7 ≈ 2.6458
D. √10 ≈ 3.1623
Based on the comparisons, only option C, √7 ≈ 2.6458, is between π and √11.