Question

How does $\frac{p}{\sqrt{kp - p^2}}$ become $-\frac12 \left( \frac{k-2p}{\sqrt{kp - p^2}} - \frac{k}{\sqrt{kp - p^2}}\right)$?

score 40 · Answer 1 · 2026-04-14 20:39:02

40

Views

How does $\frac{p}{\sqrt{kp - p^2}}$ become $-\frac12 \left( \frac{k-2p}{\sqrt{kp - p^2}} - \frac{k}{\sqrt{kp - p^2}}\right)$?

Published on 14 Apr 2026 - 20:39

score 75 · Answer 2 · 2026-04-17 09:18:26

75

Views

Write with one radical $\sqrt[4]{2^6}\cdot\sqrt{3^3}$

Published on 17 Apr 2026 - 9:18

score 151 · Answer 3 · 2026-04-15 05:26:50

151

Views

Is there a natural number $n$ for which $\sqrt[n]{22-10\sqrt7}=1-\sqrt7$

Published on 15 Apr 2026 - 5:26

score 1.1k · Answer 4 · 2026-04-16 07:51:56

1.1k

Views

Quickly simplify $(\sqrt{3}+1)^6+(\sqrt{3}-1)^6$

Published on 16 Apr 2026 - 7:51

score 244 · Answer 5 · 2026-04-11 03:23:38

244

Views

The right way of applying square root to an equation

Published on 11 Apr 2026 - 3:23

score 1.1k · Answer 6 · 2026-04-17 06:47:14

1.1k

Views

How to solve $\left(\sqrt{\frac{x-1}{x}}\right)^{x^2}=\left(\frac{1}{x}\right)^{x+1}$?

Published on 17 Apr 2026 - 6:47

score 64 · Answer 7 · 2026-04-14 14:41:25

64

Views

Is √n^x irrational, if x is an odd integer?

Published on 14 Apr 2026 - 14:41

score 45 · Answer 8 · 2026-04-14 05:09:58

45

Views

If a number defined by radicals is a root of a polynomial with integer coefficients, then so is the same number taking another branch of a root

Published on 14 Apr 2026 - 5:09

score 187 · Answer 9 · 2026-04-16 13:27:03

187

Views

What is the value of $\sqrt[3]{9+2\sqrt5+3\sqrt{15}}$?

Published on 16 Apr 2026 - 13:27

score 196 · Answer 10 · 2026-04-16 10:14:06

196

Views

Why is $\pm x = \sqrt y$ incorrect and $x=\pm \sqrt y$ correct?

Published on 16 Apr 2026 - 10:14

score 93 · Answer 11 · 2026-04-13 15:37:38

93

Views

Solving quartic equation with square roots

Published on 13 Apr 2026 - 15:37

score 112 · Answer 12 · 2026-04-10 02:52:03

112

Views

how can I solve the following equation (without complex numbers)?

Published on 10 Apr 2026 - 2:52

score 40 · Answer 13 · 2026-04-09 03:14:27

40

Views

Square Root Subtraction Question

Published on 09 Apr 2026 - 3:14

score 55 · Answer 14 · 2026-04-13 03:17:09

55

Views

Calculating a limit or proving it does not exist

Published on 13 Apr 2026 - 3:17

score 198 · Answer 15 · 2026-04-17 11:27:10

198

Views

$x^4+x^2=\frac{11}{5}$ then what is the value of $\sqrt[3]{\frac{x+1}{x-1}}+\sqrt[3]{\frac{x-1}{x+1}}$?

Published on 17 Apr 2026 - 11:27

List Question

How does $\frac{p}{\sqrt{kp - p^2}}$ become $-\frac12 \left( \frac{k-2p}{\sqrt{kp - p^2}} - \frac{k}{\sqrt{kp - p^2}}\right)$?

Write with one radical $\sqrt[4]{2^6}\cdot\sqrt{3^3}$

Is there a natural number $n$ for which $\sqrt[n]{22-10\sqrt7}=1-\sqrt7$

Quickly simplify $(\sqrt{3}+1)^6+(\sqrt{3}-1)^6$

The right way of applying square root to an equation

How to solve $\left(\sqrt{\frac{x-1}{x}}\right)^{x^2}=\left(\frac{1}{x}\right)^{x+1}$?

Is √n^x irrational, if x is an odd integer?

If a number defined by radicals is a root of a polynomial with integer coefficients, then so is the same number taking another branch of a root

What is the value of $\sqrt[3]{9+2\sqrt5+3\sqrt{15}}$?

Why is $\pm x = \sqrt y$ incorrect and $x=\pm \sqrt y$ correct?

Solving quartic equation with square roots

how can I solve the following equation (without complex numbers)?

Square Root Subtraction Question

Calculating a limit or proving it does not exist

$x^4+x^2=\frac{11}{5}$ then what is the value of $\sqrt[3]{\frac{x+1}{x-1}}+\sqrt[3]{\frac{x-1}{x+1}}$?

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