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

Question

1259 views around the world

You can reuse this answer
Creative Commons License

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)#