1. The problem is to compare the value of $4\sqrt{2}$ with other numbers or expressions. 2. Recall that $\sqrt{2}$ is approximately equal to 1.414. 3. Multiply 4 by $\sqrt{2}$: $$4 \times \sqrt{2} = 4 \times 1.414 = 5.656$$ 4. Therefore, $4\sqrt{2}$ is approximately 5.656. 5. You can now compare this value to any other number or expression by evaluating them similarly.