query: Prove this relation for nested radicals
positive_passages.docid: 149685
positive_passages.text: Formula for $\sqrt{a-\sqrt{a+\sqrt{a+\ldots}}}$
negative_passages.docid: 12949
negative_passages.text: Inductive Proof of Euler's Formula $v-e+r=2$
negative_passages.docid: 152932
negative_passages.text: Proof: $\det\pmatrix{\langle v_i , v_j \rangle}\neq0$ $\iff \{v_1,\dots,v_n\}~\text{l.i.}$
negative_passages.docid: 8481
negative_passages.text: System of congruence relations
negative_passages.docid: 39563
negative_passages.text: How to show $a,b$ coprime to $n\Rightarrow ab$ coprime to $n$?
negative_passages.docid: 8554
negative_passages.text: Proof: $\mathrm{adj}(\mathrm{adj}(A)) = (\mathrm{det}(A))^{n-2} \cdot A$ for $A \in \mathbb{R}^{n\times n}$
negative_passages.docid: 91684
negative_passages.text: Prove the following equation(much needed help):
negative_passages.docid: 73037
negative_passages.text: Geometric visualization of nested radicals
negative_passages.docid: 28565
negative_passages.text: Prove $\operatorname{rank}A^TA=\operatorname{rank}A$ for any $A\in M_{m \times n}$
negative_passages.docid: 16548
negative_passages.text: Prove $(x+y) \text{ mod } n = ((x \text{ mod } n)+(y \text{ mod } n)) \text{ mod } n,\,$ and product analog
negative_passages.docid: 109760
negative_passages.text: Showing that the product of all $n$th Roots of Unity is $(-1)^{n+1}$
negative_passages.docid: 32487
negative_passages.text: Proving $\det \left( \begin{smallmatrix} A & -B \\ B & A \end{smallmatrix} \right) =|\det(A+iB)|^2$
negative_passages.docid: 77361
negative_passages.text: How to prove $|H|[K:K \cap (g^{-1}Hg)]=|K|[H:H \cap (gKg^{-1})]$?
negative_passages.docid: 72551
negative_passages.text: Proof that $\rho = \pm1$ implies linear combination
negative_passages.docid: 94958
negative_passages.text: Prob. 6 (d), Chap. 1, in Baby Rudin, 3rd ed: How to complete this proof?
negative_passages.docid: 125030
negative_passages.text: Prove that $\det(A)=p_1p_2-ba={bf(a)-af(b)\over b-a}$
negative_passages.docid: 73334
negative_passages.text: Proving this relation is transitive