Fill in the blanks.

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) $0.125$

$(0.5)^{3}=(0.5) \times(0.5) \times(0.5)=0.125$

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