Imaginary fun

Discussion in 'Math' started by Mark44, Apr 15, 2008.

  1. Mark44

    Thread Starter Well-Known Member

    Nov 26, 2007
    That's the step that's causing problems, converting a square root of a quotient into the quotient of the square roots. That's valid only if the numerator is nonnegative and the denominator is positive.

    Concerning the square root function, f(x) = \sqrt{x}, and as noted elsewhere in this thread, this is generally understood by mathematicians to be a single-valued function, with domain and range being the nonnegative reals. It's possible to extend the domain to negative reals, but then the range is no longer a subset of the reals.