1. **State the problem:** Find the value of $\arccos\left(\frac{4}{3} \times \sqrt{2}\right)$. 2. **Recall the domain of arccos:** The function $\arccos(x)$ is defined only for $x$ in the interval $[-1,1]$. 3. **Calculate the argument:** Compute $\frac{4}{3} \times \sqrt{2}$. $$\frac{4}{3} \times \sqrt{2} = \frac{4}{3} \times 1.4142 \approx 1.8856$$ 4. **Check if the argument is in the domain:** Since $1.8856 > 1$, the value is outside the domain of $\arccos$. 5. **Conclusion:** The expression $\arccos\left(\frac{4}{3} \times \sqrt{2}\right)$ is undefined because the input is not in the domain of the arccos function. **Final answer:** The value is undefined because $\frac{4}{3} \times \sqrt{2} > 1$ and $\arccos$ is only defined for inputs between $-1$ and $1$.