Question

I don't understand how to factor the expressions $\sqrt{57+40\sqrt2} - \sqrt{57-40\sqrt2}$

score 93 · Answer 1 · 2026-04-24 14:41:24

93

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I don't understand how to factor the expressions $\sqrt{57+40\sqrt2} - \sqrt{57-40\sqrt2}$

Published on 24 Apr 2026 - 14:41

score 113 · Answer 2 · 2026-04-12 18:10:02

113

Views

When to write "$\pm$" with a square root

Published on 12 Apr 2026 - 18:10

score 434 · Answer 3 · 2026-04-17 08:20:08

434

Views

Solve in exact form: $x^6 - x^5 + 4 x^4 - 4 x^3 + 4 x^2 - x + 1=0$ ( WolframAlpha failed)

Published on 17 Apr 2026 - 8:20

score 108 · Answer 4 · 2026-04-15 23:35:13

108

Views

Find $x$ such that $\sqrt[x]9=81$

Published on 15 Apr 2026 - 23:35

score 72 · Answer 5 · 2026-04-14 20:01:12

72

Views

What happens if the radical of a module $\text{rad } M$ is zero?

Published on 14 Apr 2026 - 20:01

score 56 · Answer 6 · 2026-04-15 03:06:54

56

Views

$p(x)$ irreducible implies $(p(x))$ radical

Published on 15 Apr 2026 - 3:06

score 89 · Answer 7 · 2026-04-13 02:08:57

89

Views

Technique to identify radical ideals

Published on 13 Apr 2026 - 2:08

score 271 · Answer 8 · 2026-04-14 18:11:56

271

Views

Constructing a circle passing through a complex number $z$, its square roots, and $1$

Published on 14 Apr 2026 - 18:11

score 31 · Answer 9 · 2026-04-17 03:58:31

31

Views

Showing that $\lfloor \sqrt{n^2+b}\rfloor=n \iff 0 \le b < 2n+1$

Published on 17 Apr 2026 - 3:58

score 46 · Answer 10 · 2026-04-11 11:15:58

46

Views

How do you isolate and compute the corresponding velocity when inputting a specific magnitude of length contraction?

Published on 11 Apr 2026 - 11:15

score 96 · Answer 11 · 2026-04-16 01:55:53

96

Views

How to calculate the singularities of $x^4 + x^2 + 1$?

Published on 16 Apr 2026 - 1:55

score 67 · Answer 12 · 2026-04-11 08:22:15

67

Views

Do All nth Roots Of Complex Numbers Only Yield Complex Solutions, That Is, No Purely Real Solutions?

Published on 11 Apr 2026 - 8:22

score 37 · Answer 13 · 2026-04-15 11:34:44

37

Views

Summation of differing roots of the same number

Published on 15 Apr 2026 - 11:34

score 243 · Answer 14 · 2026-04-13 05:11:56

243

Views

Use epsilon - N definition of Limit to verify the following limits

Published on 13 Apr 2026 - 5:11

score 288 · Answer 15 · 2026-04-16 07:38:28

288

Views

Find the number of positive integers n such that $\sqrt{n+\sqrt{n+\sqrt{n}}}<10$ for any finite number of square root signs.

Published on 16 Apr 2026 - 7:38

List Question

I don't understand how to factor the expressions $\sqrt{57+40\sqrt2} - \sqrt{57-40\sqrt2}$

When to write "$\pm$" with a square root

Solve in exact form: $x^6 - x^5 + 4 x^4 - 4 x^3 + 4 x^2 - x + 1=0$ ( WolframAlpha failed)

Find $x$ such that $\sqrt[x]9=81$

What happens if the radical of a module $\text{rad } M$ is zero?

$p(x)$ irreducible implies $(p(x))$ radical

Technique to identify radical ideals

Constructing a circle passing through a complex number $z$, its square roots, and $1$

Showing that $\lfloor \sqrt{n^2+b}\rfloor=n \iff 0 \le b < 2n+1$

How do you isolate and compute the corresponding velocity when inputting a specific magnitude of length contraction?

How to calculate the singularities of $x^4 + x^2 + 1$?

Do All nth Roots Of Complex Numbers Only Yield Complex Solutions, That Is, No Purely Real Solutions?

Summation of differing roots of the same number

Use epsilon - N definition of Limit to verify the following limits

Find the number of positive integers n such that $\sqrt{n+\sqrt{n+\sqrt{n}}}<10$ for any finite number of square root signs.

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