query: A simple question about nonnegativity of square roots
positive_passages.docid: 3955
positive_passages.text: Square roots -- positive and negative
negative_passages.docid: 38954
negative_passages.text: Is there a convention for power of a half being the positive square root?
negative_passages.docid: 111569
negative_passages.text: Property of a polynomial with no positive real roots
negative_passages.docid: 88640
negative_passages.text: Is $\sqrt x$ continuous at $0$? Because it is not defined to the left of $0$
negative_passages.docid: 156034
negative_passages.text: sufficient condition for a polynomial to have roots in $[0,1]$
negative_passages.docid: 144568
negative_passages.text: How closely can we estimate $\sum_{i=0}^n \sqrt{i}$
negative_passages.docid: 157733
negative_passages.text: Are positive real numbers $x,y$ allowed to be taken out during this proof?
negative_passages.docid: 6582
negative_passages.text: Prove the existence of the square root of $2$.
negative_passages.docid: 53958
negative_passages.text: General misconception about $\sqrt x$
negative_passages.docid: 25623
negative_passages.text: Does $\sqrt{a+b} \le \sqrt a + \sqrt b$ hold for all positive real numbers a and b?
negative_passages.docid: 100433
negative_passages.text: Limit of difference of two square roots
negative_passages.docid: 44799
negative_passages.text: Why is the even root of a number always positive?
negative_passages.docid: 115454
negative_passages.text: Primality test bound: square root of n
negative_passages.docid: 125899
negative_passages.text: Prove$ L^2$ inner product satisfies positivity
negative_passages.docid: 61472
negative_passages.text: If $0<x<y$, then prove that $\sqrt{x} <\sqrt{y}$ and $x <\sqrt{xy} <y$
negative_passages.docid: 71044
negative_passages.text: Can the square root of a real number be negative?
negative_passages.docid: 68233
negative_passages.text: Fermat's little theorem's proof for a negative integer