Simplify 1327−−√ .(1 point)

Question

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–√

Answer 1

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.