Question

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

Answer 1

The given expression is:

`-5\sqrt[]{147* r^(13)* s^8}`

Rewrite the expression

`-5\sqrt[]{49*3* r^(12)* r^1* s^(4*2)}`

This further give

`\begin{gathered} -5\sqrt[]{49*3*(r^6)^2* r^1*(s^4)^2} \\ =-5*7* r^6* s^4\sqrt[]{3* r} \\ =-35r^6s^4\sqrt[]{3r} \end{gathered}`

Therefore, the solution is

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