Question 285987
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*[tex \LARGE\ \ \ \ \ \ \ \ \ \  \left(4\ -\ \sqrt{2}\right)\left(2\ +\ \sqrt{2}\right)]


Use FOIL just like multiplying any other pair of binomial expressions:


*[tex \LARGE\ \ \ \ \ \ \ \ \ \ 4\ \times\ 2\ = 8]


*[tex \LARGE\ \ \ \ \ \ \ \ \ \ 4\ \times\ \sqrt{2} = 4\sqrt{2}]


*[tex \LARGE\ \ \ \ \ \ \ \ \ \ \sqrt{2}\ \times\ 2\ = 2\sqrt{2}]


*[tex \LARGE\ \ \ \ \ \ \ \ \ \ \sqrt{2}\ \times\ \sqrt{2}\ = 2]


So, add 'em up:


*[tex \LARGE\ \ \ \ \ \ \ \ \ \ 8\ +\ 4\sqrt{2}\ +\ 2\sqrt{2}\ +\ 2\ =\ 10\ +\ 6\sqrt{2}]


John
*[tex \Large\  e^{i\pi}\ +\ 1\ =\ 0]
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