I'm trying to figure out if I have this problem done correctly.

the initial expression is:
[tex]\sqrt[]{30}\cdot\sqrt[]{5}[/tex]so we can simplify it:
[tex]\sqrt[]{30\cdot5}=\sqrt[]{150}[/tex]and 150 is not a factor of 4,9 or 16 so:
Blank 1: na
blank 2: 150