Question

3) Determine o valor das expressões abaixo. a) -√81-∛(-27) b) ∛0+∛(-1)+√0,25

Answer 1

a)

$=-\sqrt{81}-\sqrt[3]{-27}$

$=-\sqrt{9.9}-\sqrt[3]{(-3)(-3)(-3)}$

$=-\sqrt{9^2}-\sqrt[3]{(-3)^3}$

$=-\sqrt{9}^2-\sqrt[3]{-3}^3$

$=-9-(-3)$

$=-9+3$

$=-6$

b)

$=\sqrt[3]{0} +\sqrt[3]{-1} +\sqrt{0,25}$

$=\sqrt[3]{0.0.0} +\sqrt[3]{(-1)(-1)(-1)} +\sqrt{(0,5)(0,5)}$

$=\sqrt[3]{0^3} +\sqrt[3]{(-1)^3} +\sqrt{0,5^2}$

$=\sqrt[3]{0}^3 +\sqrt[3]{-1}^3 +\sqrt{0,5}^2$

$=0+(-1)+0,5$

$=-1+0,5$

$=-0,5$