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Confusing regarding a nested radical equation

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#solution-verification #radicals #nested-radicals #radical-equations
33
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Radical Equation with Symmetry

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#closed-form #radical-equations
154
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Constructing (irreducible) polynomial of odd degree with exactly two non-real roots

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#galois-theory #radical-equations
347
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How to solve this equation with rational exponents?

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#radical-equations
100
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solving radical equation

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#radicals #radical-equations
54
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Irrational equation high school

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#radicals #radical-equations
22
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Rationalizing radical expressions using conjugates - How does this step work?

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#radical-equations
131
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Can this equation with multiple radicals be solved using closed form expressions?

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#radicals #closed-form #radical-equations
143
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Solving a six-degree polynomial of the form $ax^6+bx^3+g$.

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#polynomials #galois-theory #radicals #radical-equations
70
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How do you know that a positive algebraic radical refers to a nonnegative root?

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#algebra-precalculus #radicals #radical-equations
217
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Solve the equation $\sqrt[3]{15-x^3+3x^2-3x}=2\sqrt{x^2-4x+2}+3-x$.

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#algebra-precalculus #roots #radicals #radical-equations
65
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Solve the equation $\sqrt{3\sqrt[3]{x}+1}=\sqrt[3]{2\sqrt{x+1}-1}$

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#algebra-precalculus #proof-writing #radical-equations
522
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$K=\mathbb{Q}(\sqrt[8]{2},i)$ and let $F=\mathbb{Q}(\sqrt{-2})$. Find the Galois Group $G(K,F)$

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#field-theory #proof-explanation #galois-theory #galois-extensions #radical-equations
318
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How square roots work in equations?

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#radicals #radical-equations
216
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Square root with rational exponent

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#radical-equations

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