1. The problem is to verify if the equation $4\sqrt{x} + 4\sqrt{y} = 4(\sqrt{x} \times \sqrt{y})$ is correct. 2. Recall the properties of square roots and multiplication: $\sqrt{a} \times \sqrt{b} = \sqrt{ab}$. 3. The left side is $4\sqrt{x} + 4\sqrt{y} = 4(\sqrt{x} + \sqrt{y})$. 4. The right side is $4(\sqrt{x} \times \sqrt{y}) = 4\sqrt{xy}$. 5. So the equation becomes $4(\sqrt{x} + \sqrt{y}) = 4\sqrt{xy}$. 6. Dividing both sides by 4 gives $\sqrt{x} + \sqrt{y} = \sqrt{xy}$. 7. This equality is generally false unless $x$ or $y$ is zero or both are equal to 1. 8. Therefore, the original equation is not correct in general. Final answer: $4\sqrt{x} + 4\sqrt{y} \neq 4(\sqrt{x} \times \sqrt{y})$ in general.