Get expert insights and community-driven knowledge on IDNLearn.com. Discover prompt and accurate answers from our experts, ensuring you get the information you need quickly.

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


Sagot :

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]