Question
* Consider the irrational number √73. Between what two integers is the value of this number?
A 6 and 7
B
C
D
7 and 8
8 and 9
9 and 10
A 6 and 7
B
C
D
7 and 8
8 and 9
9 and 10
Answers
GPT-4o mini
To determine between which two integers the irrational number \( \sqrt{73} \) lies, we can estimate its value.
First, we note the squares of some integers around \( 73 \):
- \( 8^2 = 64 \)
- \( 9^2 = 81 \)
Since \( 64 < 73 < 81 \), it follows that:
\[
8 < \sqrt{73} < 9
\]
Thus, \( \sqrt{73} \) lies between the integers 8 and 9.
The answer is **C: 8 and 9**.
First, we note the squares of some integers around \( 73 \):
- \( 8^2 = 64 \)
- \( 9^2 = 81 \)
Since \( 64 < 73 < 81 \), it follows that:
\[
8 < \sqrt{73} < 9
\]
Thus, \( \sqrt{73} \) lies between the integers 8 and 9.
The answer is **C: 8 and 9**.