Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
DemiRae
Group Title
Write each expression in lowest terms. Assume that all variables represent positive real numbers:(6p+√24p^3)/3p
 9 months ago
 9 months ago
DemiRae Group Title
Write each expression in lowest terms. Assume that all variables represent positive real numbers:(6p+√24p^3)/3p
 9 months ago
 9 months ago

This Question is Closed

Decart Group TitleBest ResponseYou've already chosen the best response.0
\[\frac{ 6p+\sqrt{24p ^{3}} }{ 3p }\]
 9 months ago

DemiRae Group TitleBest ResponseYou've already chosen the best response.0
That 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?
 9 months ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
since \(\sqrt{24}=\sqrt{4\times 6}=\sqrt{4}\sqrt{6}=2\sqrt{6}\) and \(\sqrt{p^3}=p\sqrt{p}\) you can start with \[\frac{6p+2\sqrt{6p}}{3p}\]
 9 months ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
oops i meant start with \[\frac{6p+2p\sqrt{6p}}{3p}\]
 9 months ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
then factor out the common factor of \(p\) and cancel it with the one in the denominator
 9 months ago

DemiRae Group TitleBest ResponseYou've already chosen the best response.0
Thank you! I appreciate your help! I see how it is done now.
 9 months ago
See more questions >>>
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.