False
Because the radicals are not like terms
Explanation:The radical expressions are:
[tex]\sqrt[]{2}\text{ and }\sqrt[]{12}[/tex]Note that only like radicals can be combined using addition or subtraction
For examples:
[tex]a\sqrt[]{b}+c\sqrt[]{b}=(a+c)\sqrt[]{b}[/tex]The addition is possible because the same term (b) is inside the root
operator
[tex]\begin{gathered} \text{For }\sqrt[]{2}\text{ and }\sqrt[]{12} \\ \sqrt[]{12}=\sqrt[]{4\times3}=2\sqrt[]{3} \\ \sqrt[]{2}\pm\sqrt[]{12}=\sqrt[]{2}\pm2\sqrt[]{3} \end{gathered}[/tex]
Since the numbers under the roots are not the same, the radicals are not line radicals, hence cannot be combined by addition or subtraction