Question

Not a timed or graded assignment. Please draw factor tree and show explanation / work for variables. Quick answer = amazing review :)

Answer 1

Given:

A radical:

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

To find:

The simplified radical form.

Solution:

The expression is factorised as follows:

`\begin{gathered} -5\sqrt[]{147r^(13)s^8}=-5\sqrt[]{7*7*3* r^(12)* r* s^8} \\ =-5*7* r^6* s^4\sqrt[]{3r} \\ =-35r^6s^4\sqrt[]{3r} \end{gathered}`

Thus, this is the required answer.