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The square root of a real number is not always positive. The square root of any positive number is positive, the square root of zero is zero (not positive), and the square root of a negative number is complex (i.e. neither positive nor negative). The square root of 16 = -4 or 4. The square root of 0 = 0 The square root of -16 = -4i or 4i
The principal square root is the non-negative square root.
A positive number has two square roots, that is, there are two solutions to an equation like x2 = 100. The "principal square root" refers to the positive solution.
If unspecified, the square root is the principal root, which is the positive root.
Definition of Square Root: The Square Root of a number 'X' is equal to 'A' when X=A*A By definition, the square root of a positive number has two answers, one negative and one positive, that have equal magnitudes. i.e. The square roots of 4 are 2 and -2. The Non-Negative Square Root is simply asking for the positive root.