query: How to prove the expression is not a square in the following question
positive_passages.docid: 149071
positive_passages.text: Let $d$ be any positive integer not equal to $2, 5,$ or $ 13$ , then $\exists a, b \in \{2, 5, 13, d\}$ such that $ab − 1$ is not a perfect square?
negative_passages.docid: 19
negative_passages.text: Why is the square root of a sum not equal to the square root of each its addends?
negative_passages.docid: 50266
negative_passages.text: In the following figure prove that: $AK||BC$
negative_passages.docid: 110826
negative_passages.text: prove that : $ i = \sqrt {-1}\ $
negative_passages.docid: 77081
negative_passages.text: Proving square root of a square is the same as absolute value
negative_passages.docid: 77464
negative_passages.text: Prove that ${x dy - y d x\over x^2 + y^2}$ is not exact
negative_passages.docid: 41051
negative_passages.text: How to show $e^{e^{e^{79}}}$ is not an integer
negative_passages.docid: 57250
negative_passages.text: Proving that the sum and difference of two squares (not equal to zero) can't both be squares.
negative_passages.docid: 33628
negative_passages.text: Prove that $\sin(\sqrt x)$ not periodic
negative_passages.docid: 75639
negative_passages.text: Showing that $\sqrt[3]{2}\notin\Bbb Q(\alpha_1,...,\alpha_k)$ where $\alpha_i^2\in\Bbb Q\ \forall i$
negative_passages.docid: 103310
negative_passages.text: Evaluation of the following expression
negative_passages.docid: 90970
negative_passages.text: How to prove the line exist?
negative_passages.docid: 156766
negative_passages.text: Prove that $\sqrt{\frac{n}{n+1}}\notin \mathbb{Q}$
negative_passages.docid: 91684
negative_passages.text: Prove the following equation(much needed help):
negative_passages.docid: 81671
negative_passages.text: Proof of identity $\sqrt {xy} = \sqrt x \sqrt y$ for $x,y \in \mathbb R^+$
negative_passages.docid: 126199
negative_passages.text: Proof of $\pi$ not being a quadratic irrational number.
negative_passages.docid: 42976
negative_passages.text: How do you prove the follwing $|\sqrt[n]{x}-\sqrt[n]{y}| \le \sqrt[n]{|x-y|}$