Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #1 20070209 19:05:33
Imaginary ConfusionYou may be familiar with this property of square roots: For example: But with imaginary numbers: Why is this ? ? "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #2 20070210 15:41:55
Re: Imaginary ConfusionMathsIsFun, The square of (1) is 1. The square root of 1 is ±1. Since the square root of (1) is represented by i, and it is known that i²=1, it may be intially baffling that 1=1, but a square root always has two values, positive and negative. In this case, since 1 is also one of the roots, the equation is perfectly right! Character is who you are when no one is looking. #3 20070210 18:04:26
Re: Imaginary ConfusionAwww... I was hoping to cause confusion. "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman 