Question

o produto (√3-√2).(√3+√2) e igual a:

Answer 1

Lembre - se do produto notável:

$\boxed{(a-b)\cdot(a+b)=a^2-b^2}$

$~~$

Assim:

$\Rightarrow~~(\sqrt{3}-\sqrt{2})\cdot(\sqrt{3}+\sqrt{2})~~\to~~\sf temos~a=\sqrt{3}~~e~~b=\sqrt{2}$

$\Rightarrow~~(\sqrt{3})^2-(\sqrt{2})^2$

anula a raiz quadrada com o expoente

$\Rightarrow~~(^\diagup\!\!\!\!\sqrt{3})^\backslash\!\!\!^2-(^\diagup\!\!\!\!\sqrt{2})^\backslash\!\!\!^2$

$\Rightarrow~~3-2$

$\therefore~~\boxed{~~1~~}~~\to~~resposta$