Question

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

Answer 1

Answer:

$22+2\sqrt{2}$

Step-by-step explanation:

apply the FOIL method: $4\cdot \:6+4\left(-\sqrt{2}\right)+\sqrt{2}\cdot \:6+\sqrt{2}\left(-\sqrt{2}\right)$

combine like terms: $4\cdot \:6-4\sqrt{2}+6\sqrt{2}-\sqrt{2}\sqrt{2}$

then simplify: $22+2\sqrt{2}$