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DemiRae
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Write each expression in lowest terms. Assume that all variables represent positive real numbers:(6p+√24p^3)/3p
 8 months ago
 8 months ago
DemiRae Group Title
Write each expression in lowest terms. Assume that all variables represent positive real numbers:(6p+√24p^3)/3p
 8 months ago
 8 months ago

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Decart Group TitleBest ResponseYou've already chosen the best response.0
\[\frac{ 6p+\sqrt{24p ^{3}} }{ 3p }\]
 8 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?
 8 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 \[\frac{6p+2\sqrt{6p}}{3p}\]
 8 months ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
oops i meant start with \[\frac{6p+2p\sqrt{6p}}{3p}\]
 8 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
 8 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.
 8 months ago
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