Question

Rationalize the denominator of $2\over{2 - \sqrt[4]{2}}$?

score 224 · Answer 1 · 2026-03-26 11:47:53

224

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Rationalize the denominator of $2\over{2 - \sqrt[4]{2}}$?

Published on 26 Mar 2026 - 11:47

score 74 · Answer 2 · 2026-04-16 21:14:18

74

Views

Find the meaning of the expression $\sqrt[3]{19 - a} + \sqrt[3]{10 - a}$, if $\sqrt[3]{19 - a} - \sqrt[3]{10 - a} = 1$.

Published on 16 Apr 2026 - 21:14

score 47 · Answer 3 · 2026-04-11 19:05:25

47

Views

Do "square-rootable" sequences of integers have square-rootable suffixes?

Published on 11 Apr 2026 - 19:05

score 493 · Answer 4 · 2026-04-12 16:20:45

493

Views

Show that nth root of a real number exists and it is unique

Published on 12 Apr 2026 - 16:20

score 92 · Answer 5 · 2026-04-09 17:40:32

92

Views

How to calculate $\ \sqrt{-i}$ without trigonometric form

Published on 09 Apr 2026 - 17:40

score 61 · Answer 6 · 2026-04-13 04:53:54

61

Views

How to solve $c=x^{a+1}\left(\frac{1}{x}b\right)^{a}-x^{a+1}$?

Published on 13 Apr 2026 - 4:53

score 124 · Answer 7 · 2026-04-11 21:40:09

124

Views

Basic analysis: proof for commutativity of exponents

Published on 11 Apr 2026 - 21:40

score 211 · Answer 8 · 2026-04-16 23:45:05

211

Views

Using L'Hopital to find $\lim_{x→∞} ( \ln \sqrt[3]{4x^3-4x^2+5} - \ln \sqrt[3]{2x^3-5x+4} )$

Published on 16 Apr 2026 - 23:45

score 45 · Answer 9 · 2026-04-15 23:44:34

45

Views

Length of integer repeats in an integer square root step function

Published on 15 Apr 2026 - 23:44

score 60 · Answer 10 · 2026-04-10 12:03:17

60

Views

How can I solve this integer part question?

Published on 10 Apr 2026 - 12:03

score 342 · Answer 11 · 2026-04-12 06:47:40

342

Views

About $(2+\sqrt 3)^n$

Published on 12 Apr 2026 - 6:47

score 25 · Answer 12 · 2026-04-11 00:21:20

25

Views

An example to explain the definition $\alpha \in \bar{F}$ is radical over $F.$

Published on 11 Apr 2026 - 0:21

score 121 · Answer 13 · 2026-04-13 09:13:52

121

Views

How is the integral of $\frac{f^\prime}{f}$ being chosen for proofs of the Complex Logarithm and Roots?

Published on 13 Apr 2026 - 9:13

score 241 · Answer 14 · 2026-04-16 14:07:27

241

Views

How to denest $\sqrt[3]{\sqrt[3]{2}-1}=\sqrt[3]{\frac19}-\sqrt[3]{\frac29}+\sqrt[3]{\frac49}$ from scratch?

Published on 16 Apr 2026 - 14:07

score 189 · Answer 15 · 2026-04-14 02:05:25

189

Views

How to prove $f(x)=\sqrt{x+\sqrt{x+\sqrt{x}}}$ is differentiable?

Published on 14 Apr 2026 - 2:05

List Question

Rationalize the denominator of $2\over{2 - \sqrt[4]{2}}$?

Find the meaning of the expression $\sqrt[3]{19 - a} + \sqrt[3]{10 - a}$, if $\sqrt[3]{19 - a} - \sqrt[3]{10 - a} = 1$.

Do "square-rootable" sequences of integers have square-rootable suffixes?

Show that nth root of a real number exists and it is unique

How to calculate $\ \sqrt{-i}$ without trigonometric form

How to solve $c=x^{a+1}\left(\frac{1}{x}b\right)^{a}-x^{a+1}$?

Basic analysis: proof for commutativity of exponents

Using L'Hopital to find $\lim_{x→∞} ( \ln \sqrt[3]{4x^3-4x^2+5} - \ln \sqrt[3]{2x^3-5x+4} )$

Length of integer repeats in an integer square root step function

How can I solve this integer part question?

About $(2+\sqrt 3)^n$

An example to explain the definition $\alpha \in \bar{F}$ is radical over $F.$

How is the integral of $\frac{f^\prime}{f}$ being chosen for proofs of the Complex Logarithm and Roots?

How to denest $\sqrt[3]{\sqrt[3]{2}-1}=\sqrt[3]{\frac19}-\sqrt[3]{\frac29}+\sqrt[3]{\frac49}$ from scratch?

How to prove $f(x)=\sqrt{x+\sqrt{x+\sqrt{x}}}$ is differentiable?

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