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Simplify the final answer: (4 + sqrt(7)) * (4 - sqrt(7))
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FOIL.
9.
\[(4 + \sqrt{7}) * (4 - \sqrt{7}) \]
16-7=9.
\[(a-b)(a+b)=a^2-b^2\]
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\[(4)^2-(\sqrt{7})^2=16-7=9 \]
as we know that \[(a-b)(a+b)=a^2-b^2\] hence \[(4+sqrt7)(4-sqrt7)\] \[((4)^2-(sqrt7)^2\] \[16-7\] since 4^2=16 and sqrt7^2=7 \[9\] got it
did you really say FOIL?
thanks kushashwa23 - makes complete sense!
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