Is the square root of 0 undefined or 0, and why?
The square root of 0, just as all strictly positive integer roots of 0 has the value 0, because all strictly positive powers of 0 are 0: 0=0^1=0^2=0^3=0^4=0^5 etc http://en.wikipedia.org/wiki/Nth_root Eine interessante discussion about the 0th power of 0 can be found here: http://en.wikipedia.org/wiki/Exponentiation#Zero_to_the_zero_power —— ADDED —— The Square Root of Zero is also a movie: “Zero, a beatnik who makes up true-confession stories but never writes them down, imagines that he and his friend Alan, a painter, go camping on an island in Maine. Alan makes the acquaintance of Jane, a young woman who with her wealthy parents is also camping on the island. Zero is left to a dull, platonic relationship with Jane’s mother May, a writer of squalid dramas. Her husband Arch spends his time on his yacht with Nell, a vacationing prostitute.
