What the square root of negative 5575?

You cannot take the 'square roots;' of negative number, without going into the realms of IMAGINARY number. So under normal ;square rooting; rules it remains 'unresolved'.

However.

-5575

sqrt( -5575) = sqrt(-1 X 5575) =>

sqrt(-1) X sqrt(5575)

The 'sqrt (-1)' has never been solved., but it is given the symbol lower case letter 'i' for IMAGINARY.

However the sqrt(5575) = +/-74.66592272.....

So the best in modern maths for 'sqrt(-5575_ is +/-74.6659....i ' as the recognised answer.

If you can solve the 'sqrt(-1)' , the mathemtical/scientific world would like to know.