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can someone remind me how to do this?
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\[(2\sqrt3 -1)(3\sqrt3 -2)\] multiply as \[(a+b)(c+d)=ac+ad+bc+bd\]
you get \[2\sqrt{3}\times 3\sqrt{3}-2\sqrt{3}\times 2-1\times 3\sqrt3-1\times (-2)\]
i know about the foil thingy, i just forgot how to multiply numbers and radicals
first number is \(2\times 3\times 3=18\)
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then \(-4\sqrt{3}-3\sqrt{3}=-7\sqrt{3}\) and \(-1\times (-2)=2\)
so when you are done you get \(20-7\sqrt3\)
so when you multiply 2 radicals, you multiply the numbers inside, right?
so sqrt3 times sqrt3 would be sqrt9, which is 3??
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