It is just a notation, used to make our calculations easier. Square root of -1 is undefined.
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Mathematicians decided that, since the square root of a negative number does not exist, they would use the first letter of "imaginary" to represent this "value".
The square root of a negative number is considered an imaginary number. In this case, the square root of -2 is represented as √(-2) = √2i, where i is the imaginary unit equal to the square root of -1. This is because the square root of -1 is not a real number, so we introduce the concept of imaginary numbers to handle such cases in mathematics.
Finding the square root of a number is the same as saying: What number multiplied by itself is equal to the number. In this instance, the square root of 1 is equal to 1 x 1. Therefore, the square root of 1 is 1.Similarly, the cube root of 1 is also 1 (1 x 1 x 1 = 1)
8
The square root of 1/9 is 1/3 because the square root of 1 is 1 and the square root of 9 is 3.