Question

Find the exact value of the radical expression in simplest form.

Answer 1

\[\sqrt{p^{6}} + \sqrt{9p^{6}} + 3\sqrt{p^{6}} - \sqrt{p{2}}\]

Answer 2

That thing at the end, is it \(\sqrt{p^2}\)?

Answer 3

If so, we know that
\[\sqrt{9p^6}=3\sqrt{p6}\]

Answer 4

And \[\sqrt{p^2}=p\]

Answer 5

\(\large \sqrt{p^6}+3\sqrt{p^6}+3\sqrt{p^6}-p\)

Answer 6

Treat \(\sqrt{p^6}\) as a variable and factor

\(\large (3+3+1)\sqrt{p^6}-p\)

Answer 7

\(\large 7\sqrt{p^6}-p\)

Answer 8

\[p^3 + 3p^3 + 3p^3 - p = ???\]