Rezolvare:
Aplicăm formulele de calcul prescurtat:
(√2+√7)² = (√2)² + 2·√2·√7 + (√7)² = 2 + 2√14 + 7 = 9 + 2√14
(x-√2)² = x² - 2·x·√2 + (√2)² = x² - 2√2x + 2
(x√3+√2)² = (x√3)² + 2·x√3·√2 + (√2)² = 3x² + 2√6x + 2
[tex]\boxed{\boldsymbol{(a \pm b)^{2} = a^{2} \pm 2ab + b^{2}}}[/tex]
