Question

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

Answer 1

`22+2√(2)`

Explanation:

apply the FOIL method:
`4\cdot \:6+4\left(-√(2)\right)+√(2)\cdot \:6+√(2)\left(-√(2)\right)`

combine like terms:
`4\cdot \:6-4√(2)+6√(2)-√(2)√(2)`

then simplify:
`22+2√(2)`