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

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

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