- #1
gabel
- 17
- 0
[tex]-1=\sqrt[3]{-1}=(-1)^{1/3} = (-1)^{2/6} = ((-1)^2)^{1/3}=1^{1/3} = 1[/tex]
How can this be?
How can this be?
Thank you for the warm welcome! :shy:Redbelly98 said:gabel and arildno, welcome to PF.
How come you waited nearly 7 years and over 10,000 posts to welcome arildno to PF? Oh wait! I haven't welcomed him either Welcome to PF arildno and gabel tooRedbelly98 said:gabel and arildno, welcome to PF.
Weclome to yuiop&gabel!yuiop said:How come you waited nearly 7 years and over 10,000 posts to welcome arildno to PF? Oh wait! I haven't welcomed him either Welcome to PF arildno and gabel too
Be sure to visit the recent https://www.physicsforums.com/showthread.php?t=465551"yuiop said:How come you waited nearly 7 years and over 10,000 posts to welcome arildno to PF? Oh wait! I haven't welcomed him either Welcome to PF arildno and gabel too
HallsofIvy said:It can't be. The error is in thinking that [tex]\sqrt[n]{ab}= \sqrt[n]{a}\sqrt[n]{b}[/tex] for complex numbers. It is only true if the roots are real numbers.
"Negative one equals one" is a mathematical statement that means -1 is equivalent to 1. This is because -1 and 1 are additive inverses, meaning they cancel each other out when added together.
Yes, "negative one equals one" is a true statement in the context of mathematics. However, in other contexts, such as language or philosophy, it may hold different meanings.
In real-life situations, "negative one equals one" can be applied in areas such as accounting, where positive and negative numbers are used to represent gains and losses. It can also be applied in physics, where negative and positive charges cancel each other out to create a neutral charge.
"Negative one equals one" is important in mathematics because it introduces the concept of negative numbers and their relationship to positive numbers. This concept is essential in various mathematical operations, such as subtraction and solving equations.
Yes, "negative one equals one" can be proven mathematically using the properties of additive inverses and the definition of equality. It can also be proven using algebraic manipulation and logical reasoning.