How do you simplify $sqrt(54p^7)$ ?

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Answer 1 · 2018-03-08T19:58:16

See a solution process below:

First, rewrite the term within the radical as:

$sqrt(9p^6 * 6p)$

Now, use this rule for radicals to complete the simplification:

$sqrt(color(red)(a) * color(blue)(b)) = sqrt(color(red)(a)) * sqrt(color(blue)(b))$

$sqrt(color(red)(9p^6) * color(blue)(6p)) =>$

$sqrt(color(red)(9p^6)) * sqrt(color(blue)(6p)) =>$

$3p^3sqrt(6p)$

How do you simplify sqrt(54p^7)sqrt(54p^7)?