Question

Show that $\frac{1}{\sqrt{r_3}}=\frac{1}{\sqrt{r_1}}+\frac{1}{\sqrt{r_2}}$ for three mutually tangent circles, each tangent to a common line

score 717 · Answer 1 · 2026-03-30 04:00:09

717

Views

Show that $\frac{1}{\sqrt{r_3}}=\frac{1}{\sqrt{r_1}}+\frac{1}{\sqrt{r_2}}$ for three mutually tangent circles, each tangent to a common line

Published on 30 Mar 2026 - 4:00

score 83 · Answer 2 · 2017-09-05 03:29:04

83

Views

Explaining fractions in a consistent way

Published on 05 Sep 2017 - 3:29

score 89 · Answer 3 · 2026-04-03 03:04:45

89

Views

Solving a Quadratic Inequality

Published on 03 Apr 2026 - 3:04

score 324 · Answer 4 · 2026-04-01 14:41:36

324

Views

Given that $\log_6 2 = .387$ ,find $\log_6 9$

Published on 01 Apr 2026 - 14:41

score 100 · Answer 5 · 2017-09-05 15:55:46

100

Views

What type of relationship intercede between fractions and division?

Published on 05 Sep 2017 - 15:55

score 86 · Answer 6 · 2017-09-05 18:00:46

86

Views

If $c \leq \frac{a_i}{b_i} \forall i$, then $c \leq \frac{\sum_{i=1}^\infty a_i}{\sum_{i=1}^\infty b_i}$

Published on 05 Sep 2017 - 18:00

score 152 · Answer 7 · 2017-09-05 22:14:56

152

Views

Why isn't $\frac{x^3+1}{x+1}$ equal to $x^2$?

Published on 05 Sep 2017 - 22:14

score 241 · Answer 8 · 2026-04-01 14:47:23

241

Views

Let $(x, y, z)\in \Bbb R$, prove that $\big(\frac{2x-y}{x-y}\big)^2+\big(\frac{2y-z}{y-z}\big)^2 +\big(\frac{2z-x}{z-x}\big)^2 \geqslant 5$

Published on 01 Apr 2026 - 14:47

score 65 · Answer 9 · 2026-03-29 03:03:55

65

Views

Why can't I separate the fraction inside a fraction to the outside

Published on 29 Mar 2026 - 3:03

score 926 · Answer 10 · 2017-09-07 23:06:24

If I have a fraction that just has a negative number in the numerator or denominator, does this make the whole fraction negative?

score 489 · Answer 11 · 2017-09-09 14:01:46

489

Views

division by fraction proof

Published on 09 Sep 2017 - 14:01

score 191 · Answer 12 · 2017-09-09 19:23:53

191

Views

$\frac{1}{1^2}+\frac{1}{1^2+2^2}+\frac{1}{1^2+2^2+3^2}+...\to ?\;\;$ (Click here.)

Published on 09 Sep 2017 - 19:23

score 10.8k · Answer 13 · 2026-04-02 22:05:42

10.8k

Views

sphere and inscribed cube

Published on 02 Apr 2026 - 22:05

score 1.4k · Answer 14 · 2026-04-02 03:54:23

1.4k

Views

Simplify $\frac{\sqrt{24}}{8}$

Published on 02 Apr 2026 - 3:54

score 315 · Answer 15 · 2017-09-12 10:50:16

315

Views

True/False question from GRE Quant about no. of students taking French and Geography.

Published on 12 Sep 2017 - 10:50

List Question

Show that $\frac{1}{\sqrt{r_3}}=\frac{1}{\sqrt{r_1}}+\frac{1}{\sqrt{r_2}}$ for three mutually tangent circles, each tangent to a common line

Explaining fractions in a consistent way

Solving a Quadratic Inequality

Given that $\log_6 2 = .387$ ,find $\log_6 9$

What type of relationship intercede between fractions and division?

If $c \leq \frac{a_i}{b_i} \forall i$, then $c \leq \frac{\sum_{i=1}^\infty a_i}{\sum_{i=1}^\infty b_i}$

Why isn't $\frac{x^3+1}{x+1}$ equal to $x^2$?

Let $(x, y, z)\in \Bbb R$, prove that $\big(\frac{2x-y}{x-y}\big)^2+\big(\frac{2y-z}{y-z}\big)^2 +\big(\frac{2z-x}{z-x}\big)^2 \geqslant 5$

Why can't I separate the fraction inside a fraction to the outside

If I have a fraction that just has a negative number in the numerator or denominator, does this make the whole fraction negative?

division by fraction proof

$\frac{1}{1^2}+\frac{1}{1^2+2^2}+\frac{1}{1^2+2^2+3^2}+...\to ?\;\;$ (Click here.)

sphere and inscribed cube

Simplify $\frac{\sqrt{24}}{8}$

True/False question from GRE Quant about no. of students taking French and Geography.

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