Question

State true or false:

$\sqrt[3]{325}\cdot \sqrt[3]{340}$ is a surd

If true answer is 1,else 0

Answer 1

Now, $\sqrt[3]{325}\times \sqrt[3]{340}=\sqrt[3]{325\times 40}=\sqrt[3]{35\times 5\times 5\times 8}=5\times 2=10$
Since, $10$ is a rational number, $\sqrt[3]{325}\times \sqrt[3]{340}$ is not a surd.