Question

$\text{Simplify:}\sqrt[3]{35-\frac{10}{27}}$

• A. $\frac{3}{5}$
• B. $\frac{3}{7}$
• C. $\frac{5}{3}$
• D. $\frac{5}{7}$

Answer 1

The correct option is C $\frac{5}{3}$

$\sqrt[3]{35-\frac{10}{27}}=\sqrt[3]{3\frac{27\times 5-10}{27}}$
$=\sqrt[3]{3\frac{135-10}{27}}=\sqrt[3]{3\frac{125}{27}}=\sqrt[3]{3\frac{5\times 5\times 5}{3\times 3\times 3}}=\frac{5}{3}$

$\therefore \sqrt[3]{35-\frac{10}{27}}=\frac{5}{3}$