Question

Solve for $x$ in $\sqrt{x+2\sqrt{x+2\sqrt{x+2\sqrt{3x}}}} = x$

score 280 · Answer 1 · 2021-10-14 05:28:45

280

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Solve for $x$ in $\sqrt{x+2\sqrt{x+2\sqrt{x+2\sqrt{3x}}}} = x$

Published on 14 Oct 2021 - 5:28

score 757 · Answer 2 · 2021-10-18 21:56:58

757

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If $\sqrt{a}\sqrt{b}=\sqrt{ab}$ only holds for positive real $a$ & $b$, then why can we say $\sqrt{-a}=\sqrt{-1\cdot a}=\sqrt{-1}\sqrt{a}=i\sqrt{a}$?

Published on 18 Oct 2021 - 21:56

score 1k · Answer 3 · 2021-12-13 20:03:23

1k

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Why can't a negative base be raised to a non-integer exponent?

Published on 13 Dec 2021 - 20:03

score 54 · Answer 4 · 2022-01-04 01:05:28

54

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Expressing the solution to a rational expression in radical form

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score 345 · Answer 5 · 2022-01-24 12:52:02

345

Views

Solving $(x+1)\sqrt{2(x^2 + 1)} + \sqrt{6x^2 + 18x +12} = \frac{3x^2 + 7x + 10}{2}$

Published on 24 Jan 2022 - 12:52

score 402 · Answer 6 · 2022-01-25 01:33:16

402

Views

Understanding Cardano's Formula

Published on 25 Jan 2022 - 1:33

score 110 · Answer 7 · 2022-01-25 10:42:22

110

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How to solve this radical equation for x?

Published on 25 Jan 2022 - 10:42

score 413 · Answer 8 · 2022-03-16 13:24:35

413

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score 162 · Answer 9 · 2022-07-18 06:33:16

162

Views

A golden question $\sqrt{2+\sqrt{2-x}}=\sqrt{x-\frac 1x} + \sqrt{1-\frac 1x}$

Published on 18 Jul 2022 - 6:33

score 139 · Answer 10 · 2022-07-29 21:30:40

139

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How to interpret an expression when the radical doesn't extend over anything?

Published on 29 Jul 2022 - 21:30

score 152 · Answer 11 · 2022-08-12 11:06:40

152

Views

free software for radical algebraic equations

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score 121 · Answer 12 · 2022-09-24 05:38:05

121

Views

Transforming a specific radical equation to a polynomial equation

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score 81 · Answer 13 · 2022-10-25 04:51:33

81

Views

If every square root has positive and negative solutions, then is $-2 = 2\sqrt1$?

Published on 25 Oct 2022 - 4:51

score 315 · Answer 14 · 2022-11-21 18:09:22

315

Views

Any way to solve $\sqrt{x} + \sqrt{x+1} + \sqrt{x+2} = \sqrt{x+7}$?

Published on 21 Nov 2022 - 18:09

List Question

Solve for $x$ in $\sqrt{x+2\sqrt{x+2\sqrt{x+2\sqrt{3x}}}} = x$

If $\sqrt{a}\sqrt{b}=\sqrt{ab}$ only holds for positive real $a$ & $b$, then why can we say $\sqrt{-a}=\sqrt{-1\cdot a}=\sqrt{-1}\sqrt{a}=i\sqrt{a}$?

Why can't a negative base be raised to a non-integer exponent?

Expressing the solution to a rational expression in radical form

Solving $(x+1)\sqrt{2(x^2 + 1)} + \sqrt{6x^2 + 18x +12} = \frac{3x^2 + 7x + 10}{2}$

Understanding Cardano's Formula

How to solve this radical equation for x?

How to find derivative in radical function?

A golden question $\sqrt{2+\sqrt{2-x}}=\sqrt{x-\frac 1x} + \sqrt{1-\frac 1x}$

How to interpret an expression when the radical doesn't extend over anything?

free software for radical algebraic equations

Transforming a specific radical equation to a polynomial equation

If every square root has positive and negative solutions, then is $-2 = 2\sqrt1$?

Any way to solve $\sqrt{x} + \sqrt{x+1} + \sqrt{x+2} = \sqrt{x+7}$?

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