Example 9.8.2. The field \mathbf{C} is algebraic over \mathbf{R}. Namely, if \alpha = a + ib in \mathbf{C}, then \alpha ^2 - 2a\alpha + a^2 + b^2 = 0 is a polynomial equation for \alpha over \mathbf{R}.
Example 9.8.2. The field \mathbf{C} is algebraic over \mathbf{R}. Namely, if \alpha = a + ib in \mathbf{C}, then \alpha ^2 - 2a\alpha + a^2 + b^2 = 0 is a polynomial equation for \alpha over \mathbf{R}.
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