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

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

DemiRae
 one year 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?

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

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

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

DemiRae
 one year ago
Best ResponseYou've already chosen the best response.0Thank you! I appreciate your help! I see how it is done now.
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