Question

Care este modalitatea corecta de efectuare a calculului (√3-√2)² ?:

a) (√3-√2)² = 3-2
b) (√3-√2)² = 3-√6 +2
c) (√3-√2)² = 5- 2√6
d) (√3-√2)² = 3+2

stiu ca e simplu dar vreau sa ma verific ty <3​

Answer 1

$\underbrace{\Big(\sqrt{3} -\sqrt{2} \Big)^2}=\Big(\sqrt{3} \Big)^2-2 \cdot \sqrt{3} \cdot \sqrt{2} +\Big(\sqrt{2} \Big)^2=3-2\sqrt{6} +2=5-2\sqrt{6}~~~\boxed{c}\\\boxed{(a-b)^2=a^2-2ab+b^2}$