Solution
- The solution steps are given below:
[tex]\begin{gathered} \sqrt{n^3p^4} \\ \\ \text{ The whole square root means raising to the power of half.} \\ \text{ Thus, we have:} \\ \sqrt{n^3p^4}=(n^3p^4)^{\frac{1}{2}} \\ \\ \text{ Simplifying, we have:} \\ =(n^{3\times\frac{1}{2}})(p^{4\times\frac{1}{2}}) \\ \\ =n^{\frac{3}{2}}p^2 \end{gathered}[/tex]Final Answer
The answer is
[tex]n^{\frac{3}{2}}p^2[/tex]