Question

Se dau numerele a=√2 -√3 (totul sub primul radical) si b=√2+√3(totul sub primul radical);1)Aratati ca a ·b =1 2)Calculati (a-b)²

Answer 1

1. se foloseste formula (x-y)(x+y)=x²-y²
ab=[tex] \sqrt{(2- \sqrt{3})(2+ \sqrt{3} ) } = \sqrt{4-3} =1[/tex]

.2. (a-b)²=a²-2ab+b²=2-√3-2+2+√3=6