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What is the third square root of 1?

The cubic root of 1 is 1^(1/3), where the question of how many square roots a number has is related to both the range in which the number lies and the number of square roots. There is one and only one odd number of square roots of any real number in the real number range.

In the range of complex numbers, there are n square roots of n for any non-zero complex number, whether n is odd or even. the 3 square roots of 8 are 2, and the 3 square roots of -8 are -2; the even square roots of a positive real number are the two opposite numbers, and the 4 square roots of 16 are 2 and -2; there are no even square roots of negative real numbers; any square root of zero is zero.

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The n (n being a natural number) square roots of a number a are the numbers whose nth power is equal to a, that is, the numbers b that fit bn = a. For example, the 4th square roots of 16 are 2 and -2. The 2nd square root of a number is called a square root; the 3rd square root is called a cube root. The square roots are collectively referred to as square roots. The operation of finding the square root of a given number is called squaring.

In the complex range, there are n square roots of any non-zero complex number, whether n is odd or even. If the complex number z=r(cosθ+ i sinθ), r=|z|, then its n nth square root is, k=0, 1, 2..., n-1.