query: Better explicit notation for $\sqrt {(-2) ^2} = \sqrt {2^2}$ seemingly implying $-2=2$ type questions
positive_passages.docid: 53958
positive_passages.text: General misconception about $\sqrt x$
negative_passages.docid: 112368
negative_passages.text: Is there a rule for $\sqrt{a+b}$?
negative_passages.docid: 80648
negative_passages.text: What's $(-1)^{2/3}\; $?
negative_passages.docid: 19676
negative_passages.text: Is it known whether ${\sqrt{2}}^{\sqrt{2}}$ is irrational?
negative_passages.docid: 70660
negative_passages.text: Why is $\sqrt{8}/2$ equal to $\sqrt{2}$?
negative_passages.docid: 140459
negative_passages.text: Why is $\left(e^{2\pi i}\right)^i \neq e^{-2 \pi}$?
negative_passages.docid: 3390
negative_passages.text: finding the real values of $x$ such that : $x=\sqrt{2+\sqrt{2-\sqrt{2+x}}}$
negative_passages.docid: 91521
negative_passages.text: Ambiguity of notation: $\sin(x)^2$
negative_passages.docid: 96204
negative_passages.text: Irrational number $\sqrt2$ proof
negative_passages.docid: 115213
negative_passages.text: How to simplify $\sqrt[3]{7+5\sqrt{2}}+\sqrt[3]{7-5\sqrt{2}}$
negative_passages.docid: 19260
negative_passages.text: What does the notation $q^k || n$ mean?
negative_passages.docid: 114346
negative_passages.text: Why is $a^{-1}$ mod $p$ equal to $a^{p-2}$ mod $p$?
negative_passages.docid: 146084
negative_passages.text: Different methods of evaluating $\int\sqrt{a^2-x^2}dx$:
negative_passages.docid: 68315
negative_passages.text: Why doesn't multiplying square roots of imaginary numbers follow $\sqrt{a} \times \sqrt{b} = \sqrt{ab}$?
negative_passages.docid: 82630
negative_passages.text: How is it, that $\sqrt{x^2}$ is not $ x$, but $|x|$?
negative_passages.docid: 27742
negative_passages.text: What does "${-#*i}" != "$-" mean?
negative_passages.docid: 152195
negative_passages.text: Could this be proper notation for an antiderivative? Does this notation even exist?