query: Solution of square root of the square of (-1)
positive_passages.docid: 3712
positive_passages.text: Why $\sqrt{-1 \cdot {-1}} \neq \sqrt{-1}^2$?
negative_passages.docid: 148074
negative_passages.text: Analytic expression for the primitive of square root of a quadratic
negative_passages.docid: 110826
negative_passages.text: prove that : $ i = \sqrt {-1}\ $
negative_passages.docid: 86894
negative_passages.text: Finding solution of a Trigonometric equation
negative_passages.docid: 142725
negative_passages.text: The general solution of $x^a = a^x$ for real $a >0$
negative_passages.docid: 7463
negative_passages.text: Square root of a square
negative_passages.docid: 135087
negative_passages.text: Find integer solutions of $xy=-1$ (using only elementary ring theory).
negative_passages.docid: 130439
negative_passages.text: Finding square roots of $\sqrt 3 +3i$
negative_passages.docid: 73079
negative_passages.text: Eliminating non-integer solutions to $ab / (2\sqrt{ab} + a + b)$
negative_passages.docid: 158862
negative_passages.text: Show that $a(-1) = (-1)a = -a $.
negative_passages.docid: 7898
negative_passages.text: Finding square root without using sqrt function?
negative_passages.docid: 81875
negative_passages.text: why is $\sqrt{-1} = i$ and not $\pm i$?
negative_passages.docid: 140969
negative_passages.text: Limit of square root problem
negative_passages.docid: 155285
negative_passages.text: difficulty of accepting $i^2 = -1$ for first timers
negative_passages.docid: 26758
negative_passages.text: Square root of inverse gamma distribution?
negative_passages.docid: 55094
negative_passages.text: How to show $i^{-1} = -i$?
negative_passages.docid: 121052
negative_passages.text: Where is the mistake? $-1=(-1)^{2/2}=\left(\left (-1\right)\displaystyle ^2\right)^{1/2}=1^{1/2}=\sqrt 1=1$