For this case we have to define properties of powers and roots:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
We also have to:
[tex]3 ^ {15} = 3 ^ {14} * 3[/tex]
So:
[tex]\sqrt {3 ^ {15}} = \sqrt {3 ^ {14} * 3} = 3 ^ {\frac {14} {2}} * \sqrt {3} = 3 ^ 7 * \sqrt {3}[/tex]
Answer:
[tex]3 ^ 7 * \sqrt {3}[/tex]
Option D
