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anonymous
 one year ago
Help with algebra?
anonymous
 one year ago
Help with algebra?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Rationalize the denominator and simplify. \[\frac{ 3\sqrt{6}+5\sqrt{2} }{ 4\sqrt{6}3\sqrt{2} }\] I know I need to multiply by the conjugate.\[\frac{ 4\sqrt{6}+3\sqrt{2} }{ 4\sqrt{6}+3\sqrt{2} }\] I tried doing all of the math but I must have made a mistake at some point because the answer I got does not fit.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2yes we need to multiply by the conjugate. then we need to foil afterwards \[\frac{ 3\sqrt{6}+5\sqrt{2} }{ 4\sqrt{6}3\sqrt{2} } \cdot \frac{ 4\sqrt{6}+3\sqrt{2} }{ 4\sqrt{6}+3\sqrt{2} }\]

MrNood
 one year ago
Best ResponseYou've already chosen the best response.0(a+b)(ab) = a^2b^2 so that is simpler than using FOIL for the denominator

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2the denominator will always been simpler though. because the middle terms from FOIL are gone leaving F L

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok I know I need to do that and for the numerator I got \[102+18\sqrt{3}+40\sqrt{3}\] and on the denominator I got 78 but that doesn't fit.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2dw:1437553510720:dw try compute that for the numerator.. while I work out the denominator

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2dw:1437553641257:dw

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2dw:1437553716764:dw well the denominator is correct.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok well I'm getting 72+\[72+\sqrt{3}+40\sqrt{3}+30\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0there should be an 18 before the first square root of 3

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2you can combine \[18 \sqrt{3}+ 40\sqrt{3} \]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2factor the square root part out you should get \[\sqrt{3}(18+40) \]

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.0\[\large 18 \color{red}{\sqrt{3}}+ 40\color{red}{\sqrt{3}}\] The red portion appearing in both terms means that they can be simplified further, remember that for the future :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh that actually helps a lot I just didn't know I could add those together. It still doesnt fit though? Should the final answer be\[\frac{ 58\sqrt{3}+102 }{ 78 }\]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2maybe we can split it into fractions and reduce further... I see all even terms

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2\[\frac{ 58\sqrt{3}+102 }{ 78 } \rightarrow \frac{58\sqrt{3}}{78}+\frac{102}{78}\]

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.0Remember that the divisor, 78 can always be distributed to everything in the numerator as long as you're not changing what is in the numerator, only simplifying it.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2\[\frac{29\sqrt{3}}{39} +\frac{17}{13}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ohh ok so what I did was divide 58, 102, and 78 by 2 so it does fit.\[\frac{ 51+29\sqrt{3} }{ }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0With 39 on the bottom

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I think that is the answer so thank you

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2\[\frac{ 51+29\sqrt{3} }{ 39 }\] that's right. :)

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.2I just went too far in my reduction.. but by multiplying 3 on both sides of the other fraction it comes up to that
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