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Mathematics 22 Online
OpenStudy (anonymous):

Multiply and simplify:

OpenStudy (anonymous):

OpenStudy (anonymous):

is this the answer

OpenStudy (turingtest):

that's not what I got... let me double check.

OpenStudy (turingtest):

No, look: first FOIL\[(7+3\sqrt2)(9-5\sqrt2)\]\[=(9*7)+(9*3)\sqrt2-(5*7)\sqrt2-(5*3)\sqrt2*\sqrt2\]note that \[\sqrt2*\sqrt2=2\]so we have\[=63+18\sqrt2-35\sqrt2-(15*2)\]combining like terms gives\[=63-30+(18-35)\sqrt2=33-17\sqrt2\]I hope you study this to find your mistake.

OpenStudy (anonymous):

so its

OpenStudy (turingtest):

yes it is, but that's not what I wrote.... looks like I messed up too XD

OpenStudy (anonymous):

lol :) ur amazing!

OpenStudy (turingtest):

oh yes, 9x3 is 27, not 18... No, look: first FOIL\[(7+3\sqrt2)(9-5\sqrt2)\]\[=(9*7)+(9*3)\sqrt2-(5*7)\sqrt2-(5*3)\sqrt2*\sqrt2\]note that \[\sqrt2*\sqrt2=2\]so we have\[=63+27\sqrt2-35\sqrt2-(15*2)\]combining like terms gives\[=63-30+(27-35)\sqrt2=33-8\sqrt2\]oops...

OpenStudy (turingtest):

forget the "no, look" part above it's a copy-paste

OpenStudy (anonymous):

ok :)

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