worth 20 points, please help!

Answer: 3
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. Find the prime factorization of 27:
[tex]27=3*3*3[/tex] or [tex]27=3^{3}[/tex]
2. The index of the radical is 3, therefore, you have rewrite it as following:
[tex]\sqrt[3]{27}=\sqrt[3]{3^{3}}=3^{\frac{3}{3}}=3^{1}=3[/tex]
3. Therefore, as you can see, the answer is 3.