Is the square root of negative 4 rational or irrational?

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Mathematics

Krista Brady

9 January, 07:54

Is the square root of negative 4 rational or irrational?

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Armando Mcgrath · Answer 1

The square root of - 4 is the same thing as the square root of - 1 times the square root of 4. The square root of 4 is 2, but the square root is an imaginary number, i. Since it is an imaginary number, it is indeterminate whether it is a rational or irrational (given current number theory) so the square root of negative 4 is neither rational nor irrational. It is imaginary.