Question:
Fill in the blanks.
(i) $\sqrt[3]{a b}=(\sqrt[3]{a}) \times(\ldots \ldots \ldots)$.
(ii) $\sqrt[3]{\frac{a}{b}}=\ldots \ldots . .$
(iii) $\sqrt[3]{-x}=\ldots . . . .$
(iv) $(0.5)^{3}=$............
Solution:
(i) $\sqrt[3]{b}$
$\sqrt[3]{a b}=(\sqrt[3]{a}) \times(\sqrt[3]{b})$
(ii) $\frac{\sqrt[3]{a}}{\sqrt[3]{b}}$
$\sqrt[3]{\frac{a}{b}}=\frac{\sqrt[3]{a}}{\sqrt[3]{b}}$
(iii) $-\sqrt[3]{x}$
$\sqrt[3]{-x}=-\sqrt[3]{x}$
(iv) $0.125$
$(0.5)^{3}=(0.5) \times(0.5) \times(0.5)=0.125$