Question

Metal&Fan.
Find the exact value of the radical expression in simplest form.
the square root of p to the sixth power + the square root of 9 times p to the sixth power + 3 the square root of p to the sixth power − the square root of p squared

13 times p cubed times the square root of p − 2 times p times the square root of p
13 times p cubed times the square root of p − 2p
7p3
7p3 − p

Answer 1

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

Hint...what is the square root of 9? it's 3 right? so we can take that out

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

We can combine those first 2 radicals now...add the 3's and leave the radicals alone for now

\[\large 6\sqrt{p^6} - \sqrt{p^2}\]

any idea what to do next?

Answer 2

Simplify the expressions both inside and outside the radical by multiplying.?

Answer 3

@midhun.madhu1987