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First few Prime numbers and nested radicals in association with $\pi$

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#trigonometry #prime-numbers #pi #nested-radicals
97
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$\pi$, from Pentadecagon - infinitely expanding Balloon nested Radical

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#circles #infinity #pi #polygons #nested-radicals
252
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How to find the partial derivatives of the following nested expression?

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#derivatives #probability-distributions #partial-derivative #nested-radicals #reliability
109
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$\sqrt{n+\sqrt{n+\sqrt{n+...+\sqrt{n+f(n)}}}}$

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#nested-radicals
171
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Finding the value of $\sqrt{z \sqrt{z \sqrt{z}}}...$

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#complex-numbers #radicals #nested-radicals
145
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How do I simplify $34\csc{\frac{2\pi}{17}}$?

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#trigonometry #fractions #nested-radicals #rationalising-denominator
445
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Simplifying $f(\sqrt{7})$, where $f(x) = \sqrt{x-4\sqrt{x-4}}+\sqrt{x+4\sqrt{x-4}}$

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#algebra-precalculus #functions #complex-numbers #nested-radicals #rationalising-denominator
90
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Interesting sequences when computing nested square roots

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#sequences-and-series #number-theory #trigonometry #nested-radicals
6.8k
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The Infinitely Nested Radicals Problem and Ramanujan's wondrous formula

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#number-theory #math-history #continued-fractions #nested-radicals
228
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Cube root of $-2+i$

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#polynomials #problem-solving #cubics #nested-radicals
777
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Evaluating $\sqrt{1+\sqrt{2 - \sqrt{3 + \sqrt{4 - \cdots}}}}$

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#sequences-and-series #algebra-precalculus #nested-radicals
77
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A question about limit

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#limits #nested-radicals
33
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Please help me clear confusion over principal roots and identities for n-th radicals

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#algebra-precalculus #exponentiation #radicals #nested-radicals
88
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Does the $0$ solution for $\sqrt{x\sqrt{x\sqrt{x\sqrt{x\sqrt{x...}}}}}$ hold any meaning?

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#nested-radicals
121
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Show that: $A_1A_2=R\sqrt{2-\sqrt{2+\sqrt{2-\sqrt{2+...+\sqrt{2}}}}}$ , the number of square roots being $n–1$.

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#real-analysis #sequences-and-series #trigonometry #euclidean-geometry #nested-radicals

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