Question

Simplify 1327−−√
.(1 point)
Responses

393–√
39 start root 3 end root

This radical expression is already fully simplified.
This radical expression is already fully simplified.

163–√
16 start root 3 end root

39

Answer 1

To simplify \( \sqrt{1327} \), we can first look for the prime factors of 1327, or try to determine if it can be expressed as a product of a perfect square and another number.

First, let's see if 1327 can be simplified:

- 1327 is not a perfect square, as the square of 36 is 1296 and the square of 37 is 1369.
- We can check if it has any perfect square factors. The best strategy is to do a prime factorization.

Since prime factorization might be tedious, let's just try calculating the square root directly.

Calculating \( \sqrt{1327} \) gives approximately 36.4, confirming that it's not a perfect square.

Since 1327 does not simplify further nicely, we can conclude that:

**The radical expression is already fully simplified.**

So the answer is: **This radical expression is already fully simplified.**