Given:
A radical:
[tex]-5\sqrt[]{147r^{13}s^8}[/tex]
To find:
The simplified radical form.
Solution:
The expression is factorised as follows:
[tex]\begin{gathered} -5\sqrt[]{147r^{13}s^8}=-5\sqrt[]{7\times7\times3\times r^{12}\times r\times s^8} \\ =-5\times7\times r^6\times s^4\sqrt[]{3r} \\ =-35r^6s^4\sqrt[]{3r} \end{gathered}[/tex]
Thus, this is the required answer.
