## anonymous 4 years ago Find the exact value of the radical expression in simplest form.

1. anonymous

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

2. zepp

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

3. zepp

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

4. zepp

And $\sqrt{p^2}=p$

5. zepp

$$\large \sqrt{p^6}+3\sqrt{p^6}+3\sqrt{p^6}-p$$

6. zepp

Treat $$\sqrt{p^6}$$ as a variable and factor $$\large (3+3+1)\sqrt{p^6}-p$$

7. zepp

$$\large 7\sqrt{p^6}-p$$

8. anonymous

$p^3 + 3p^3 + 3p^3 - p = ???$