Question

Hasil dari ( 2√2 - √6 ) ( √2 + √6 ) =
A. 2 ( 1 - √2 )
B. 2 ( 2 - √2 )
C. 2 ( √3 - 1 )
D. 3 ( √3 - 1 )
E. 4 ( 2√3 + 1)

Tolong di jawab sama caranya ya

Answer 1

(2√2 - √6)(√2 + √6)
=> (2√2)(√2) + (2√2)(√6) + (-√6)(√2) + (-√6)(√6)
=> (2*2) + (2√(2*6)) - (√(6*2)) - 6
=> 4 - 6 + 2√12 - √12
=> -2 + √12
=> -2 + √(4*3)
=> -2 + 2√3 => 2(-1 + √3) = 2(√3 - 1) (C)