im having a problem understanding algebra stuff. i can grasp how to multiply radicals. help anyone?
\[\sqrt{a}~\sqrt{b}=\sqrt{a*b}\] not too sure how thats confusing ....
conjugates help with simplification
rationalizing the denominator
i get how to find the gonjugates.. maybe im just over thinking it -_-
change the operation, and multiply
(a+b) <-> (a-b) are conjugates
the beauty is:\[(a+b)(a-b) = a^2 -b^2\]
the top will just have to be whatever it plays out as ..
okay
what i dont get is would it be 12 radical 36?
\[\frac{c+d}{a-b}\frac{a+b}{a+b}=\frac{ca+cb+da+db}{a^2-b^2}\] the specific values are just distractions
12(6) +9sqrt(12)+20sqrt(12)+15(4) ------------------------------ 16(6) - 9(4)
uhh, got a little carried away :) *-9(2) is that under part :)
and 15(2) up top ....
12(6) +9sqrt(12)+20sqrt(12)+15(2) ------------------------------ 16(6) - 9(2) thats better
*confused*
not too sure what the confusion it ...
wait.. hold on
so 15 radical 2 is n top and -9 radical 2 on bottom. or is that supposed to be squared
you recall how to "FOIL"? i dont really like that term but it seems to be what passes of math these days
\((3\sqrt6+5\sqrt2)\) \((4\sqrt6+3\sqrt{2})\) ------------------------ \((4\sqrt6-3\sqrt{2})\) \((4\sqrt6+3\sqrt{2})\) \(3(4)\sqrt{6(6)}+5(4)\sqrt{2(6)}+3(3)\sqrt{6(2)}+5(3)\sqrt{2(2)}\) --------------------------------------------- \(4(4)\sqrt{6(6)}-3(4)\sqrt{2(6)}+3(4)\sqrt{2(6)}-3(3)\sqrt{2(2)}\) \(12\sqrt{36}+20\sqrt{12}+9\sqrt{12}+15\sqrt{4}\) ----------------------------- \(16\sqrt{36}-9\sqrt{4}\) \(12(6)+20\sqrt{12}+9\sqrt{12}+15(2)\) ----------------------------- \(16(6)-9(2)\)
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