Question

Is the expression $\sqrt[3]{325\times 40}$ a surd?

• A. yes
• B. no

Answer 1

The correct option is B no

Simplify the expression $\sqrt[3]{325\times 40}$
$\sqrt[3]{325\times 40}$
$=\sqrt[3]{35\times 5\times 2\times 2\times 2\times 5}$
$=\sqrt[3]{35^3}\times \sqrt[3]{32^3}$
$=5\times 2=10$
Simplified result is $10$ which is a rational number.
Thus, $\sqrt[3]{325\times 40}$ is not a surd.