Question

calcular (√3+√5) . (√3-√7)

Answer 1

Resposta:

-3,62567...

Explicação passo-a-passo:

$\left(\sqrt{3}+\sqrt{5}\right)\left(\sqrt{3}-\sqrt{7}\right)$

$=\sqrt{3}\sqrt{3}+\sqrt{3}\left(-\sqrt{7}\right)+\sqrt{5}\sqrt{3}+\sqrt{5}\left(-\sqrt{7}\right)\\=\sqrt{3}\sqrt{3}-\sqrt{3}\sqrt{7}+\sqrt{5}\sqrt{3}-\sqrt{5}\sqrt{7}\\=3-\sqrt{21}+\sqrt{15}-\sqrt{35}\\=-3,62567...$