NO!!!!
sqrt(-n) ?????
However,
-n X -n = (+)n^2
Sqrt(n^2) = either -n or (+)n , because either -n X -n = (+)n^2 or n x n = n^2
However,
sqrt(-n) takes us into IMAGINARY numbers.
sqrt(-n) = sqrt( -1 x n) = sqrt(-1) X sqrt(n)
.The sqrt(-1) is mathemtically unresolved and is given the symbol 'i' (small / lower case letter 'i'.
The sqrt(n) .being positive can be found.
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The square root of a negative number is considered an imaginary number, denoted as "i". In this case, the square root of -3 would be √(-3) = √3 * i. Therefore, the square root of -3 is not a real number, as real numbers are those that can be represented on the number line without involving "i".
square roots of a negative number are imaginary, where i = square root (-1) sqrt (-2500) = sqrt (2500) i = 50 i
If you square an expression and then take the square root, the squaring and the square root cancel one another, EXCEPT that the sign will be positive. Thus, if you square 16x, and then take the square root, the answer can be 16x or -16x, depending on whether "x" is positive or negative. Or if you only square x, and then take the square root of the entire expression, it would be 4x or -4x (once again, depending on whether "x" is positive or negative).
To take the square root would be like asking: What number multiplied by itself would get this number? So for example, 5 multiplied by itself would equal 25, so the square root of 25 is 5.
There is not square root of a negative number as any two identical numbers (either negative or positive) multiplied together result in a positive number. _______________________ In many cases, mathematics describes real concepts. And even though conventional math doesn't have a place for the square root of a negative number, "complex arithmetic" does.To get the square root of a negative number, we factor the negative number - in this case, -55 - into 55 * -1, or 55 times negative 1. We can take the square root of the positive number 55 easily; it is ... (looking for my calculator....) 7.41619849.== == The square root of the other factor (-1) doesn't really exist, so we call it "i", the "imaginary number". So i2 = -1. When the concept was first developed back in the 1500's, the idea of "imaginary" numbers was strictly a game, a puzzle, something to play with. Most of mathematics is that way. However, it is a curious fact that "useless" information turns out to be very useful indeed, as soon as we figure out where. Complex arithmetic and imaginary numbers turn out to be extraordinarily useful for describing electromagnetic waves and radiation.