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- How do I square a logarithm? - Mathematics Stack Exchange
$\log_2 (3) \approx 1 58496$ as you can easily verify $ (\log_2 (3))^2 \approx (1 58496)^2 \approx 2 51211$ $2 \log_2 (3) \approx 2 \cdot 1 58496 \approx 3 16992$ $2^ {\log_2 (3)} = 3$ Do any of those appear to be equal? (Whenever you are wondering whether some general algebraic relationship holds, it's a good idea to first try some simple numerical examples to see if it is even possible
- Mathematics Stack Exchange
Q A for people studying math at any level and professionals in related fields
- Legendres three-square theorem - Mathematics Stack Exchange
Legendre's three-square theorem Ask Question Asked 5 years, 1 month ago Modified 1 year, 7 months ago
- abstract algebra - Does a polynomial $P (x_1, \ldots, x_n)$ with . . .
Suppose $G(x_1, \\ldots, x_n) \\in k[x_1, \\ldots, x_n]$ is an irreducible polynomial and $k$ is algebraically closed field of char $0$ Suppose $G$ does not have
- User Ariadne - Mathematics Stack Exchange
Q A for people studying math at any level and professionals in related fields
- math history - Why is square root by long division found so . . .
0 The square root of x equals x, divided by the square root of x So if you knew the square root of x, you could calculate the square root of x But you don’t know it, that’s the whole point Now if you knew the first three decimals of the square root, you could divide x by these three decimals
- Why sqrt(4) isnt equall to-2? - Mathematics Stack Exchange
If you want the negative square root, that would be $-\sqrt {4} = -2$ Both $-2$ and $2$ are square roots of $4$, but the notation $\sqrt {4}$ corresponds to only the positive square root
- What is $\sqrt {i}$? - Mathematics Stack Exchange
The square root of i is (1 + i) sqrt (2) [Try it out my multiplying it by itself ] It has no special notation beyond other complex numbers; in my discipline, at least, it comes up about half as often as the square root of 2 does --- that is, it isn't rare, but it arises only because of our prejudice for things which can be expressed using small integers
- Why is the square root of a negative number impossible?
It is impossible to find the square root of negative one, or the square root of any negative number, because no number times itself can equal a negative number
- algebra precalculus - How to square both the sides of an equation . . .
I understand that you can't really square on both the sides like I did in the first step, however, if this is not the way to do it, then how can you really solve an equation like this one (in which there's a square root on the LHS) without substitution?
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