gabrieljellooo
Answered

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Expand and simplify
(4 + √2 }(6-√2)
Give your answer in the form b + c√2
​

Sagot :

chemistryfan63

Answer:

[tex]22+2\sqrt{2}[/tex]

Step-by-step explanation:

apply the FOIL method: [tex]4\cdot \:6+4\left(-\sqrt{2}\right)+\sqrt{2}\cdot \:6+\sqrt{2}\left(-\sqrt{2}\right)[/tex]

combine like terms: [tex]4\cdot \:6-4\sqrt{2}+6\sqrt{2}-\sqrt{2}\sqrt{2}[/tex]

then simplify: [tex]22+2\sqrt{2}[/tex]

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