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Simplification of identity with square roots

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#quadratics #radicals #common-root
137
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What went wrong in proving $i=1$

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#complex-numbers #exponentiation #radicals #fake-proofs
122
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Solve the equation $x^2 + 4(\sqrt{1 - x} + \sqrt{1 + x}) - 8 = 0$

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#algebra-precalculus #radicals #a.m.-g.m.-inequality #cauchy-schwarz-inequality
1.3k
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How to simplify $\sqrt{2+\sqrt{3}}$ $?$

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#algebra-precalculus #radicals #nested-radicals
1.1k
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Multiplication of the square root of complex numbers

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#complex-numbers #radicals
179
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Solve the following equation: $\sqrt{4x^2 - 15x + 20} = 4x - 10 + 7\sqrt{x - 1}$.

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#algebra-precalculus #radicals
326
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Optimization without complex numbers

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#optimization #complex-numbers #radicals
72
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Which simplified form of $-2\sqrt[3]{-250}$ is correct?

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#algebra-precalculus #radicals
42
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How to break long expressions into multiple lines?

Published on
#radicals #fractions
56
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Solving algebra with multiple square root

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#linear-algebra #diophantine-equations #radicals
32
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How can I prove that $n \sqrt{\frac{x}{n^2}} = \sqrt{x} | n \in \mathbb{N}$?

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#radicals #formal-proofs
100
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If $f(x) \in\Bbb Q[x]$ has splitting field of degree $16$ over $\Bbb Q$ is $f(x)$ solvable by radicals?

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#field-theory #galois-theory #radicals #splitting-field #radical-equations
121
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Convergence of $\sqrt[k]{z+\sqrt[k]{z+\sqrt[k]{z+\cdots}}}$, where $z=(1+x)^k-(1+x)$

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#complex-analysis #functions #convergence-divergence #radicals #nested-radicals
86
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Evaluating expression with Integer part and Fraction part of a nested radical

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#radicals
112
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Square root and Cube root in the same equation

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#radicals

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