query: Sign of square root of a real number
positive_passages.docid: 17886
positive_passages.text: Values of square roots
negative_passages.docid: 145007
negative_passages.text: Two problems on real number series
negative_passages.docid: 1190
negative_passages.text: Square Root of Rational Number $\frac{A}{B}$
negative_passages.docid: 139297
negative_passages.text: Find the sign of $\int_{0}^{2 \pi}\frac{\sin x}{x} dx$
negative_passages.docid: 133496
negative_passages.text: is $\sqrt{x}$ always positive?
negative_passages.docid: 75571
negative_passages.text: Limit of $\sqrt x$ as $x$ approaches $0$
negative_passages.docid: 53945
negative_passages.text: The square root of a prime number is irrational
negative_passages.docid: 126445
negative_passages.text: Proving the second root of a quadratic equation
negative_passages.docid: 153969
negative_passages.text: The "elements" of a real number
negative_passages.docid: 49750
negative_passages.text: Proof of the square root inequality $2\sqrt{n+1}-2\sqrt{n}<\frac{1}{\sqrt{n}}<2\sqrt{n}-2\sqrt{n-1}$
negative_passages.docid: 17355
negative_passages.text: How do I get the square root of a complex number?
negative_passages.docid: 122737
negative_passages.text: How to understand why $x^0 = 1$, where $x$ is any real number?
negative_passages.docid: 118244
negative_passages.text: An $n$th root inequality: $\sqrt[n]{n} < 1 + \sqrt{2/n}$
negative_passages.docid: 81381
negative_passages.text: Why does the domain and range of $\sqrt x$ contain only positive real numbers?
negative_passages.docid: 54030
negative_passages.text: Square and square root and negative numbers
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: 50555
negative_passages.text: Approximation of real number to the power of irrational