Question

Determinati numerele rationale a si b stiind ca
(√2+ √6)^2= a- b √3

Answer 1

(√2+√6)²=a-b√3

(√2)²+2√2×√6+(√6)²=a-b√3

2+2×2√3+6=a-b√3

2+4√3+6=a-b√3

8+4√3=a-b√3

a=8

b= -4

Answer 2

Salut! :)

( V2 + V6 )² = a - bV3

( V2 )² + 2 × V2 × V6 + ( V6 )² = a - bV3

2 + 2 × V12 + 6 = a - bV3

8 + 4V3 = a - bV3

=> a = 8, b = - 4