Question

Not a timed or graded assignment. Please decompose the number inside of radical using primes. Quick answer = amazing review :)

Answer 1

SOLUTION

The given expression is:

$-5\sqrt[]{147\times r^{13}\times s^8}$

Rewrite the expression

$-5\sqrt[]{49\times3\times r^{12}\times r^1\times s^{4\times2}}$

This further give

$\begin{gathered} -5\sqrt[]{49\times3\times(r^6)^2\times r^1\times(s^4)^2} \\ =-5\times7\times r^6\times s^4\sqrt[]{3\times r} \\ =-35r^6s^4\sqrt[]{3r} \end{gathered}$

Therefore, the solution is

$-35r^6s^4\sqrt[]{3r}$