The square root of zero is zero from an algebraic perspective, as it satisfies the equation x² = 0. In complex numbers, the square root of zero remains zero, as it is a real number and part of the complex plane. When considering limits, the limit of the square root of x as x approaches zero from the positive side is zero, while the limit from the negative side does not exist due to the square root of negative numbers being undefined in real numbers. Overall, the square root of zero is consistently defined as zero across different mathematical contexts. Understanding these perspectives clarifies the concept of square roots in various branches of mathematics.