Question

How to simplify $\frac{\frac{\cos x}{2\sqrt{x}} + \sqrt{x}\sin x}{\cos^2x}$, step by step?

score 52 · Answer 1 · 2026-04-13 23:02:14

52

Views

How to simplify $\frac{\frac{\cos x}{2\sqrt{x}} + \sqrt{x}\sin x}{\cos^2x}$, step by step?

Published on 13 Apr 2026 - 23:02

score 90 · Answer 2 · 2026-04-14 07:43:34

90

Views

Problems with the complex square root

Published on 14 Apr 2026 - 7:43

score 100 · Answer 3 · 2026-04-16 01:06:18

100

Views

Expressing $\sqrt{3 − \sqrt{5}}$ in the form $\frac{\sqrt{a}−\sqrt{b}}{c}$

Published on 16 Apr 2026 - 1:06

score 46 · Answer 4 · 2026-04-12 20:44:26

46

Views

Square Root of $9a + 36\sqrt{3ax} + 108x$

Published on 12 Apr 2026 - 20:44

score 1.2k · Answer 5 · 2026-04-09 04:09:18

1.2k

Views

How to remove roots from an equation?

Published on 09 Apr 2026 - 4:09

score 142 · Answer 6 · 2026-04-15 13:53:27

142

Views

To find when $\sqrt{\frac{7^{n}+1}{2}}$ is prime

Published on 15 Apr 2026 - 13:53

score 206 · Answer 7 · 2026-04-16 20:25:23

206

Views

If $\sqrt{9^x - 6^x} = \sqrt{6^x - 4^x}$, then the number of values of $x$ are:

Published on 16 Apr 2026 - 20:25

score 255 · Answer 8 · 2026-04-15 03:16:47

255

Views

Sufficient & necessary conditions for comparing sums of square roots: $\sum_{i=0}^m \sqrt{x_i} \ge \sum_{j=0}^n \sqrt{y_j}$

Published on 15 Apr 2026 - 3:16

score 78 · Answer 9 · 2026-04-15 19:46:13

78

Views

If $f(x) = (x^2+2\alpha x + \alpha^2-1)^{\frac{1}{4}}$ has its domain and range so that union is $\mathbb{R}$, what does $\alpha$ satisfy?

Published on 15 Apr 2026 - 19:46

score 70 · Answer 10 · 2026-04-13 21:52:57

70

Views

When I graph $y=x^{1/2}$ why does it only show the positive y values.

Published on 13 Apr 2026 - 21:52

score 140 · Answer 11 · 2026-04-22 02:13:44

140

Views

Find all real numbers $x$ such that $\sqrt{x+2\sqrt{x}-1}+\sqrt{x-2\sqrt{x}-1}$ is a real number

Published on 22 Apr 2026 - 2:13

score 40 · Answer 12 · 2026-04-16 10:58:42

40

Views

Is it possible to multiply out at least by $s^2$ in this root expression? $\sqrt{(a^2-4d)s^2+(4bd-4ac)s+4c^2}$

Published on 16 Apr 2026 - 10:58

score 138 · Answer 13 · 2026-04-12 00:36:11

138

Views

Does the square root function behave the same when calculating complex roots?

Published on 12 Apr 2026 - 0:36

score 116 · Answer 14 · 2026-04-16 06:54:15

116

Views

Solve the equation in real numbers: $x-6+\frac{2}{\sqrt{x-2}}=\frac{1}{3}\log_3(\frac{x}{x^3+54})$

Published on 16 Apr 2026 - 6:54

score 62 · Answer 15 · 2026-04-16 10:48:44

62

Views

In simplifying $\sqrt{\frac{(x^2 +x +3)^2}{(1-2q)^2}}$ to $\frac{x^2 +x +3}{|1-2q|}$, why use the absolute value?

Published on 16 Apr 2026 - 10:48

List Question

How to simplify $\frac{\frac{\cos x}{2\sqrt{x}} + \sqrt{x}\sin x}{\cos^2x}$, step by step?

Problems with the complex square root

Expressing $\sqrt{3 − \sqrt{5}}$ in the form $\frac{\sqrt{a}−\sqrt{b}}{c}$

Square Root of $9a + 36\sqrt{3ax} + 108x$

How to remove roots from an equation?

To find when $\sqrt{\frac{7^{n}+1}{2}}$ is prime

If $\sqrt{9^x - 6^x} = \sqrt{6^x - 4^x}$, then the number of values of $x$ are:

Sufficient & necessary conditions for comparing sums of square roots: $\sum_{i=0}^m \sqrt{x_i} \ge \sum_{j=0}^n \sqrt{y_j}$

If $f(x) = (x^2+2\alpha x + \alpha^2-1)^{\frac{1}{4}}$ has its domain and range so that union is $\mathbb{R}$, what does $\alpha$ satisfy?

When I graph $y=x^{1/2}$ why does it only show the positive y values.

Find all real numbers $x$ such that $\sqrt{x+2\sqrt{x}-1}+\sqrt{x-2\sqrt{x}-1}$ is a real number

Is it possible to multiply out at least by $s^2$ in this root expression? $\sqrt{(a^2-4d)s^2+(4bd-4ac)s+4c^2}$

Does the square root function behave the same when calculating complex roots?

Solve the equation in real numbers: $x-6+\frac{2}{\sqrt{x-2}}=\frac{1}{3}\log_3(\frac{x}{x^3+54})$

In simplifying $\sqrt{\frac{(x^2 +x +3)^2}{(1-2q)^2}}$ to $\frac{x^2 +x +3}{|1-2q|}$, why use the absolute value?

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