1. The problem is to verify if the expression $ \frac{2ab}{\sqrt{ab}} = 2\sqrt{ab} $ is true. 2. Recall the property of radicals: $ \frac{a}{\sqrt{a}} = \sqrt{a} $ for any positive $a$. 3. Apply this property to the expression: $$ \frac{2ab}{\sqrt{ab}} = 2 \times \frac{ab}{\sqrt{ab}} = 2 \times \sqrt{ab} $$ 4. Explanation: Since $ \frac{ab}{\sqrt{ab}} = \sqrt{ab} $, multiplying by 2 gives $ 2\sqrt{ab} $. 5. Therefore, the equality $ \frac{2ab}{\sqrt{ab}} = 2\sqrt{ab} $ holds true. Final answer: $ \frac{2ab}{\sqrt{ab}} = 2\sqrt{ab} $.