A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
Write each expression in lowest terms. Assume that all variables represent positive real numbers:(6p+√24p^3)/3p
anonymous
 3 years ago
Write each expression in lowest terms. Assume that all variables represent positive real numbers:(6p+√24p^3)/3p

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[\frac{ 6p+\sqrt{24p ^{3}} }{ 3p }\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0That is how it is set up, it says I'm suppose to factor the numerator and denominator. The denominator ends up being 3 alone and the numerator looks like: 6+2√6p in the answer key, so the two p's must cancel on top and bottom, but where does the cube go?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0since \(\sqrt{24}=\sqrt{4\times 6}=\sqrt{4}\sqrt{6}=2\sqrt{6}\) and \(\sqrt{p^3}=p\sqrt{p}\) you can start with \[\frac{6p+2\sqrt{6p}}{3p}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0oops i meant start with \[\frac{6p+2p\sqrt{6p}}{3p}\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0then factor out the common factor of \(p\) and cancel it with the one in the denominator

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Thank you! I appreciate your help! I see how it is done now.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.