Tick (✓) the correct answer

Question:

Tick (✓) the correct answer

$\sqrt[3]{\frac{64}{343}}=?$

(a) $\frac{4}{9}$

(b) $\frac{4}{7}$

(c) $\frac{8}{7}$

(d) $\frac{8}{21}$

Solution:

(b) $\frac{4}{7}$

$\sqrt[3]{\frac{64}{343}}=\frac{\sqrt[3]{64}}{\sqrt[3]{343}}=\frac{\sqrt[3]{4 \times 4 \times 4}}{\sqrt[3]{7 \times 7 \times 7}}=\frac{\sqrt[3]{(4)^{3}}}{\sqrt[3]{(7)^{3}}}$

$\sqrt[3]{\frac{64}{343}}=\frac{4}{7}$

$\therefore \sqrt[3]{\frac{64}{343}}=\frac{4}{7}$

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