Question
Simplify 1327−−√ .(1 point)
Responses
This radical expression is already fully simplified.
This radical expression is already fully simplified.
393–√
39 start root 3 end root
39
39
163–√
Responses
This radical expression is already fully simplified.
This radical expression is already fully simplified.
393–√
39 start root 3 end root
39
39
163–√
Answers
GPT-4o mini
To simplify the expression \(\sqrt{1327}\), we need to check if \(1327\) can be expressed as a product of a perfect square and another integer.
1. **Check the prime factorization of 1327**:
- The number \(1327\) does not have any perfect square factors.
- It is not divisible by 2 (since it is odd).
- It is also not divisible by 3, 5, 7, 11, 13, and 17.
2. **Further investigation indicates that 1327 is a prime number**.
Since \(1327\) does not have a perfect square factor other than 1, \(\sqrt{1327}\) cannot be simplified further.
Therefore, the correct answer is:
**This radical expression is already fully simplified.**
1. **Check the prime factorization of 1327**:
- The number \(1327\) does not have any perfect square factors.
- It is not divisible by 2 (since it is odd).
- It is also not divisible by 3, 5, 7, 11, 13, and 17.
2. **Further investigation indicates that 1327 is a prime number**.
Since \(1327\) does not have a perfect square factor other than 1, \(\sqrt{1327}\) cannot be simplified further.
Therefore, the correct answer is:
**This radical expression is already fully simplified.**