Chapter 10 - Exponents and Radicals - 10.3 Multiplying Radical Expressions - 10.3 Exercise Set - Page 647: 65

$a\sqrt[3]{10}$

Using the properties of radicals, the given expression, $ \sqrt[3]{5a^2}\sqrt[3]{2a} ,$ simplifies to \begin{array}{l}\require{cancel} \sqrt[3]{5a^2(2a)} \\\\= \sqrt[3]{10a^3} \\\\= \sqrt[3]{a^3\cdot10} \\\\= \sqrt[3]{(a)^3\cdot10} \\\\= a\sqrt[3]{10} \end{array}