query: Is $\sqrt[3]{-3} = -\sqrt[3]{3}$ true?
positive_passages.docid: 25959
positive_passages.text: How do you compute negative numbers to fractional powers?
negative_passages.docid: 11857
negative_passages.text: $A$ be a complex $3\times 3$ matrix such that $A^3=-I$
negative_passages.docid: 28347
negative_passages.text: Prove that $\sqrt 2 + \sqrt 3$ is irrational
negative_passages.docid: 81875
negative_passages.text: why is $\sqrt{-1} = i$ and not $\pm i$?
negative_passages.docid: 21237
negative_passages.text: $\sqrt{6}-\sqrt{2}-\sqrt{3}$ is irrational
negative_passages.docid: 60665
negative_passages.text: Meaning of $\mathbb{Z}\left[\sqrt{3}\right]$?
negative_passages.docid: 6650
negative_passages.text: Why $\sqrt{-1 \times -1} \neq \sqrt{-1}^2$?
negative_passages.docid: 19676
negative_passages.text: Is it known whether ${\sqrt{2}}^{\sqrt{2}}$ is irrational?
negative_passages.docid: 121052
negative_passages.text: Where is the mistake? $-1=(-1)^{2/2}=\left(\left (-1\right)\displaystyle ^2\right)^{1/2}=1^{1/2}=\sqrt 1=1$
negative_passages.docid: 144773
negative_passages.text: function $f(x)=x^{-(1/3)}$ , please check whether my solution is correct?
negative_passages.docid: 123295
negative_passages.text: How does one evaluate $\sqrt[3]{x + iy} + \sqrt[3]{x - iy}$?
negative_passages.docid: 152436
negative_passages.text: Are $(x^3)^{1/3} $ and $\sqrt{x^2}$ monomials?
negative_passages.docid: 90276
negative_passages.text: Is $\sqrt{2}\in{\Bbb Z}[\sqrt{2}+\sqrt{3}]$ true?
negative_passages.docid: 11564
negative_passages.text: $\mathbb{Q}(\sqrt{p},\sqrt[3]{q})=\mathbb{Q}(\sqrt{p}\sqrt[3]{q})$ for distinct prime $p,q$
negative_passages.docid: 130439
negative_passages.text: Finding square roots of $\sqrt 3 +3i$
negative_passages.docid: 138944
negative_passages.text: Is $\mathbb Z[\sqrt{-3}]$ Euclidean under some other norm?
negative_passages.docid: 55197
negative_passages.text: Roots of $ x^3-3x+1$