Chapter 7 - Section 7.3 - Multiplying and Simplifying Radical Expressions - Exercise Set - Page 532: 108

Makes sense

Since, $\sqrt a \sqrt b=\sqrt{ab}$ Thus, $\sqrt[n] a \sqrt[n] b=\sqrt[n]{ab}$ Here, $n$ refers as index. For example: If two radicals will have have same index then their product will also have same index. such as: $\sqrt[3] 4 \sqrt[3] 5=\sqrt[3]{20}$ Hence, the statement makes sense.