How do I break $q=\sqrt{a+ib}$ into its real and imaginary parts?
18959
Quadratic Formula in Complex Variables
123295
How does one evaluate $\sqrt[3]{x + iy} + \sqrt[3]{x - iy}$?
11506
Alternative proof that $(a^2+b^2)/(ab+1)$ is a square when it's an integer
77349
What is the real part of $ e^{e^{i \theta}} ?$
1914
General way to determine $\mathbb{Q}(\gamma) = \mathbb{Q}(\alpha,\beta)$ given $\alpha$ and $\beta$
26080
Building a continued fraction
58122
QM without complex numbers
90564
How can I convert a complex number into an exponent form
56745
Why does this not work with an imaginary exponent?
85977
Show that if $\sqrt{a}+\sqrt{b}\neq 0$, then $\mathbb{Q}(\sqrt{a}+\sqrt{b}) = \mathbb{Q}(\sqrt{a},\sqrt{b}), \forall a,b\in\mathbb{Q}$
113230
How can we factor $ q^4 + q^2 + 1$
75639
Showing that $\sqrt[3]{2}\notin\Bbb Q(\alpha_1,...,\alpha_k)$ where $\alpha_i^2\in\Bbb Q\ \forall i$
112368
Is there a rule for $\sqrt{a+b}$?
122083
Prove that $\sqrt[3]{2} +\sqrt{5}$ is algebraic over $\mathbb Q$
149675
Simplifying $\sqrt[4]{161-72 \sqrt{5}}$
143123
finding an argument of a complex number
53660
Show that $ a，b，c, \sqrt{a}+ \sqrt{b}+\sqrt{c} \in\mathbb Q  \implies  \sqrt{a},\sqrt{b},\sqrt{c} \in\mathbb Q $