1. Let's analyze the sequence given starting from the simple arithmetic statement $1 + 1 = 2$. 2. Next steps attempt to transform or equate $2$ to other expressions such as $4 - 2$, which is correct since $4 - 2 = 2$. 3. Then the equation introduces terms involving fractions $\frac{9}{2}$, square roots, and squares, seemingly trying to rewrite or manipulate the expressions algebraically. 4. However, careful inspection reveals inconsistencies and errors: - For example, the step $$\sqrt{\left( 4 - \frac{9}{2} \right)^2 + \frac{9}{2} - 2}$$ does not simplify obviously to previous values. - Later steps combine terms incorrectly, such as $$\sqrt{25 - 45 + \left( \frac{9}{2} \right)^2 + \frac{9}{2} - 2}$$ which simplify to negative values inside the square root without appropriate justification. 5. The final claim that $$1 + 1 = 3$$ is mathematically false. 6. Throughout the equalities, algebraic manipulation is misapplied, leading to contradictory results. **Conclusion:** The attached math solution is incorrect because it contains invalid and unjustified steps, culminating in the false statement $1 + 1 = 3$.