Question

Determining the extraneous solution to a radical equation

score 225 · Answer 1 · 2026-03-13 03:57:20

225

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Determining the extraneous solution to a radical equation

Published on 13 Mar 2026 - 3:57

score 83 · Answer 2 · 2026-03-22 01:30:53

83

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Zero set of nested radicals

Published on 22 Mar 2026 - 1:30

score 108 · Answer 3 · 2020-07-26 12:03:39

108

Views

Integrate $\frac{x}{(x^4+1)^2 \sqrt{(x^2-x+1)}}$.

Published on 26 Jul 2020 - 12:03

score 1.2k · Answer 4 · 2017-02-09 13:19:08

1.2k

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Trick to this square root equations

Published on 09 Feb 2017 - 13:19

score 1.2k · Answer 5 · 2017-03-13 11:53:33

1.2k

Views

Inequality with square root on both sides

Published on 13 Mar 2017 - 11:53

score 162 · Answer 6 · 2017-03-16 17:23:41

162

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Surds question grade 10

Published on 16 Mar 2017 - 17:23

score 591 · Answer 7 · 2017-04-09 04:08:24

591

Views

"Extraneous solution" solves original equation

Published on 09 Apr 2017 - 4:08

score 61 · Answer 8 · 2023-03-27 05:02:50

61

Views

A radical equation $(2x+1)^{2/3}+(2x-1)^{2/3}-2x^{2/3}=2^{1/3}$

Published on 27 Mar 2023 - 5:02

score 126 · Answer 9 · 2023-04-25 18:47:49

126

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Are there any simpler ways to determine the solution for $\sqrt{x+\sqrt{x}}=1$ without back substitution checks?

Published on 25 Apr 2023 - 18:47

score 37 · Answer 10 · 2026-02-25 00:46:34

37

Views

What is the rate of convergence of the following sequence (equation with a finite number of nested radicals)?

Published on 25 Feb 2026 - 0:46

score 1k · Answer 11 · 2023-08-22 22:28:24

1k

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What are some obscure radical identities?

Published on 22 Aug 2023 - 22:28

score 122 · Answer 12 · 2023-10-17 09:00:30

122

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square root of x equals -1

Published on 17 Oct 2023 - 9:00

score 88 · Answer 13 · 2024-02-12 16:38:59

88

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solution-verification | Show that if $a$ and $q$ are natural numbers and the number $(a+\sqrt{q})(a+\sqrt{q+1})$ is rational, then $q=0$.

Published on 12 Feb 2024 - 16:38

score 58 · Answer 14 · 2024-02-13 08:40:46

58

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Prove that there are infinitely many distinct natural numbers $a,b$ for which $\sqrt{a+b}, \sqrt{a-b}$ are simultaneously rational

Published on 13 Feb 2024 - 8:40

score 44 · Answer 15 · 2024-02-20 02:36:18

44

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Is the de Moivre's formula only intended to be used for unknown values of the input $z$, but not to fixed values of $z$?

Published on 20 Feb 2024 - 2:36

List Question

Determining the extraneous solution to a radical equation

Zero set of nested radicals

Integrate $\frac{x}{(x^4+1)^2 \sqrt{(x^2-x+1)}}$.

Trick to this square root equations

Inequality with square root on both sides

Surds question grade 10

"Extraneous solution" solves original equation

A radical equation $(2x+1)^{2/3}+(2x-1)^{2/3}-2x^{2/3}=2^{1/3}$

Are there any simpler ways to determine the solution for $\sqrt{x+\sqrt{x}}=1$ without back substitution checks?

What is the rate of convergence of the following sequence (equation with a finite number of nested radicals)?

What are some obscure radical identities?

square root of x equals -1

solution-verification | Show that if $a$ and $q$ are natural numbers and the number $(a+\sqrt{q})(a+\sqrt{q+1})$ is rational, then $q=0$.

Prove that there are infinitely many distinct natural numbers $a,b$ for which $\sqrt{a+b}, \sqrt{a-b}$ are simultaneously rational

Is the de Moivre's formula only intended to be used for unknown values of the input $z$, but not to fixed values of $z$?

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