Question

Simplify the expression. Assume all variables represent positive real numbers.∛864

Answer 1

$\bf \sqrt[3]{864}\qquad \begin{cases} 864\to 2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 3\cdot 3\cdot 3\\ \qquad 2^3\cdot 2^2\cdot 3^3 \end{cases} \\\\\\ \sqrt[3]{\boxed{2^3}\cdot 2^2\cdot \boxed{3^3}}\implies \boxed{2}\cdot \boxed{3}\sqrt[3]{2^2}\implies 6\sqrt[3]{4}$