SOLUTION
The given expression is:
[tex]-5\sqrt[]{147\times r^{13}\times s^8}[/tex]
Rewrite the expression
[tex]-5\sqrt[]{49\times3\times r^{12}\times r^1\times s^{4\times2}}[/tex]
This further give
[tex]\begin{gathered} -5\sqrt[]{49\times3\times(r^6)^2\times r^1\times(s^4)^2} \\ =-5\times7\times r^6\times s^4\sqrt[]{3\times r} \\ =-35r^6s^4\sqrt[]{3r} \end{gathered}[/tex]
Therefore, the solution is
[tex]-35r^6s^4\sqrt[]{3r}[/tex]
