Question

Fill in the blanks.
(i) $\sqrt[3]{ab}=\left(\sqrt[3]{a}\right)\times \left(.........\right).$
(ii) $\sqrt[3]{\frac{a}{b}}=.........$
(iii) $\sqrt[3]{-x}=.........$
(iv) (0.5)³ = .........

Answer 1

(i) $\sqrt[3]{b}$

$\sqrt[3]{ab}=\left(\sqrt[3]{a}\right)\times \left(\sqrt[3]{b}\right)$

(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

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