Question

Use Ramanujan’s method to denest $\sqrt[3]{7\sqrt[3]{20}-1}$ and $\sqrt[3]{7\sqrt[3]{20}-19}$

score 458 · Answer 1 · 2026-04-18 00:44:48

458

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Use Ramanujan’s method to denest $\sqrt[3]{7\sqrt[3]{20}-1}$ and $\sqrt[3]{7\sqrt[3]{20}-19}$

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score 148 · Answer 2 · 2026-04-05 21:00:35

148

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149

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2.3k

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score 200 · Answer 5 · 2026-04-14 06:56:43

200

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score 180 · Answer 6 · 2026-04-15 16:33:19

180

Views

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44

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score 46 · Answer 9 · 2026-04-16 07:19:06

46

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score 97 · Answer 10 · 2026-04-16 17:44:22

97

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$ x^{2}- x- 4+ \frac{4\left ( x- 1 \right )^{2}}{\sqrt{3+ 2x-x^{2}}+ x+ 1}> 0 $

Published on 16 Apr 2026 - 17:44

score 49 · Answer 11 · 2026-04-16 23:41:54

49

Views

The proof that if $a_{1}>1$ and $a_{n+1}=2-\frac{1}{a_{n}}$ for $n\geq 1$, then $\{a_{n}\}$ is monotone

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score 805 · Answer 12 · 2026-04-15 16:13:01

805

Views

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score 533 · Answer 13 · 2026-04-12 17:34:50

533

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score 293 · Answer 14 · 2026-04-15 04:05:22

293

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score 168 · Answer 15 · 2026-04-16 06:23:08

168

Views

Concerning $m_1m_2=-1$

Published on 16 Apr 2026 - 6:23

List Question

Use Ramanujan’s method to denest $\sqrt[3]{7\sqrt[3]{20}-1}$ and $\sqrt[3]{7\sqrt[3]{20}-19}$

Seeking the minimum without calculus

(Pre-calc w/ Algebra) RREF for 3x3 Matrices

What does it mean to solve an expression in terms of a variable?

Locate mistake in matrix inverse

Can you write something like $3\cdot5\cdot7\cdots(2n+1)$ as $(2n+1)!$?

solving a linear recurrence relationship involving trig

Help to solve the equation involving complicate fractions

Solving a weird system of ODEs: $-(\lambda_i+\delta)v_i(x)+\mu_iv_i(x) +\frac{1}{2}\sigma_i^2 v_i''(x) +\lambda_iv_{3-i}(x)=0, ~~~~~i=1,2$

$ x^{2}- x- 4+ \frac{4\left ( x- 1 \right )^{2}}{\sqrt{3+ 2x-x^{2}}+ x+ 1}> 0 $

The proof that if $a_{1}>1$ and $a_{n+1}=2-\frac{1}{a_{n}}$ for $n\geq 1$, then $\{a_{n}\}$ is monotone

Solve: $\sqrt{x^2-4}=x-2$

Alternative for calculating the nth of quadratic sequence

How to find the sum of: $a^2+(a+d)^2+(a+2d)^2+(a+3d)^2+\cdots+[a+(n-1)d]^2?$

Concerning $m_1m_2=-1$

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