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They are irrational numbers
Not necessarily. The square root of 4 are +/- 2 which are Real numbers, NOT imaginary. Although, since the Reals are a subset of Complex numbers, the above roots would belong to the Complex numbers.
The square root of 225 is 15, which is NOT an irrational number.
It belongs in the irrational group of numbers.
Any subset of the real numbers which excludes the value -8