Question

Help ?

Answer 1

@jim_thompson5910

Answer 2

Remember that the square root cuts the exponent in half

Answer 3

So \[\Large \sqrt{p^6} = p^3\]

Answer 4

and \[\Large \sqrt{p^2} = p^1 = p\]

Answer 5

Also

\[\Large \sqrt{9p^6} = \sqrt{9}\sqrt{p^6}\]


\[\Large \sqrt{9p^6} = 3p^3\]

Answer 6

So overall...

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


\[\Large p^3 + 3p^3 + 3p^3 - p\]


\[\Large 7p^3 - p\]


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This means

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

simplifies to

\[\Large 7p^3 - p\]

Answer 7

it's a lot, but hopefully it makes sense

Answer 8

Yeah I know