(корень12 - 4корень3 +корень8)×корень2=

(√12-4√3+√8)*√2=√24-4√6+√16=2√6-4√6+4=4-2√6

( √12 - 4√3 + √8 ) * √2 =
= ( √(4*3) - 4√3 + √4*2 ) * √2 =
= ( 2√3 - 4√3 + 2√2 ) * √2 =
= ( √3(2 - 4) + 2√2 ) * √2 =
= ( -2√3 + 2√2 ) * √2 =
= ( 2√2 - 2√3) * √2 =
= √2 * 2√2 - √2 * 2√3 =
= 2 * 2 - 2√(2 * 3) =
= 4 - 2√6