Question

Calcule a distância entre os pontos dados n(✓2, -✓2) e p (-✓2, ✓2)

Answer 1

$x_n= \sqrt{2}\\x_p=- \sqrt{2}\\y_n=- \sqrt{2}\\y_p= \sqrt{2} \\\\\\ D= \sqrt{(x_p-x_n)^2+(y_p-y_n)^2}\\\\D= \sqrt{(- \sqrt{2}- \sqrt{2})^2+(\sqrt{2}-(-\sqrt{2}))^2 }\\\\D= \sqrt{(-2-2)+(2+2)}\\\\D= \sqrt{-4+4}\\\\D= \sqrt{0} \\\\\boxed{D=0}$