Question

Can we say that $i = -\sqrt{-1}$ because $i^2 =- 1$?

score 1k · Answer 1 · 2018-11-26 06:42:18

1k

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Can we say that $i = -\sqrt{-1}$ because $i^2 =- 1$?

Published on 26 Nov 2018 - 6:42

score 152 · Answer 2 · 2018-11-26 15:22:48

152

Views

Simplify a square root by factoring it for sum-product method

Published on 26 Nov 2018 - 15:22

score 208 · Answer 3 · 2018-11-26 17:57:41

208

Views

How to make the nth root of a product act the same as simple multiplication in regard to parity?

Published on 26 Nov 2018 - 17:57

score 55 · Answer 4 · 2026-03-19 20:38:41

55

Views

given $p,q,r \ge 3$ study the diophantine equation $x^py^q=z^r-1$ using the $abc$-conjecture

Published on 19 Mar 2026 - 20:38

score 230 · Answer 5 · 2018-12-01 13:29:06

230

Views

When did Pythagoras's formula for the hypotenuse change from $\sqrt{a^2 + b^2}$ to $\sqrt{a^2 + b^2 + 2ab}$?

Published on 01 Dec 2018 - 13:29

score 208 · Answer 6 · 2026-03-24 23:46:08

208

Views

Comparing $\ln 1000$, $\sqrt[5]{1000}$, $3^{1000}$, and $1000^{15}$ without calculator

Published on 24 Mar 2026 - 23:46

score 48 · Answer 7 · 2018-12-02 16:26:54

How to show that $\sqrt{1+ni}=\sqrt[4]{n^2+1}\cos\left(\frac{1}{2}\tan^{-1}(n)\right)+i\sqrt[4]{n^2+1}\sin\left(\frac{1}{2}\tan^{-1}(n)\right)$

score 207 · Answer 8 · 2026-03-25 12:28:13

207

Views

Proving that the Jacobson radical of a (not necessarily unital) ring is contained in the intersection of all left modular ideals.

Published on 25 Mar 2026 - 12:28

score 129 · Answer 9 · 2026-03-26 06:34:53

129

Views

Find the maximize value of $\sqrt{\frac{a}{a+c}}+\sqrt{\frac{b}{b+c}}-\frac{9\sqrt{c^2+1}}{8c}$

Published on 26 Mar 2026 - 6:34

score 140 · Answer 10 · 2018-12-08 09:43:04

140

Views

Find limit $\lim\limits _{x\rightarrow \infty }\left(\sqrt{x^{4} +x^{2}\sqrt{x^{4} +1}} -\sqrt{2x^{4}}\right)$

Published on 08 Dec 2018 - 9:43

score 106 · Answer 11 · 2026-03-20 04:28:43

106

Views

If $a+\sqrt{a^2+1}= b+\sqrt{b^2+1}$, then $a=b$ or not?

Published on 20 Mar 2026 - 4:28

score 60 · Answer 12 · 2018-12-12 15:37:12

60

Views

How do I calculate easily radical of $124$?

Published on 12 Dec 2018 - 15:37

score 833 · Answer 13 · 2018-12-12 17:11:02

833

Views

Evaluate $( \sqrt{288} + \sqrt{119})^{3/2} - ( \sqrt{288} - \sqrt{119})^{3/2}$

Published on 12 Dec 2018 - 17:11

score 154 · Answer 14 · 2026-03-25 12:20:38

154

Views

Finding the cube roots of two complex numbers knowing the product of these cube roots

Published on 25 Mar 2026 - 12:20

score 137 · Answer 15 · 2026-03-25 01:20:30

137

Views

Dimension of $J(F(GL_2(3)))$, where $J$ stands for Jacobson radical.

Published on 25 Mar 2026 - 1:20

List Question

Can we say that $i = -\sqrt{-1}$ because $i^2 =- 1$?

Simplify a square root by factoring it for sum-product method

How to make the nth root of a product act the same as simple multiplication in regard to parity?

given $p,q,r \ge 3$ study the diophantine equation $x^py^q=z^r-1$ using the $abc$-conjecture

When did Pythagoras's formula for the hypotenuse change from $\sqrt{a^2 + b^2}$ to $\sqrt{a^2 + b^2 + 2ab}$?

Comparing $\ln 1000$, $\sqrt[5]{1000}$, $3^{1000}$, and $1000^{15}$ without calculator

How to show that $\sqrt{1+ni}=\sqrt[4]{n^2+1}\cos\left(\frac{1}{2}\tan^{-1}(n)\right)+i\sqrt[4]{n^2+1}\sin\left(\frac{1}{2}\tan^{-1}(n)\right)$

Proving that the Jacobson radical of a (not necessarily unital) ring is contained in the intersection of all left modular ideals.

Find the maximize value of $\sqrt{\frac{a}{a+c}}+\sqrt{\frac{b}{b+c}}-\frac{9\sqrt{c^2+1}}{8c}$

Find limit $\lim\limits _{x\rightarrow \infty }\left(\sqrt{x^{4} +x^{2}\sqrt{x^{4} +1}} -\sqrt{2x^{4}}\right)$

If $a+\sqrt{a^2+1}= b+\sqrt{b^2+1}$, then $a=b$ or not?

How do I calculate easily radical of $124$?

Evaluate $( \sqrt{288} + \sqrt{119})^{3/2} - ( \sqrt{288} - \sqrt{119})^{3/2}$

Finding the cube roots of two complex numbers knowing the product of these cube roots

Dimension of $J(F(GL_2(3)))$, where $J$ stands for Jacobson radical.

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