# Is i in algebra rational or irrational?

"i" as in imaginary number

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• Jim
Lv 7
8 months ago

Rational for most people's needs.

Complex once you get below the surface.

• 8 months ago

I is an imaginary number, not a real number, therefore, it cannot be classified as rational or irrational.

• 8 months ago

neither because rational and irrational apply only to real numbers

• 8 months ago

It is not only not rational, it is not real.

• ?
Lv 7
8 months ago

NEITHER. The number i belongs to the Complex Number System.

• 8 months ago

Irrational. A lower case "i" is uses for the square root of -1. If you use "I," no one else knows what you are talking about.

• 8 months ago

The rational and irrational numbers are subsets of the real numbers. The imaginary number i is not a real number and is therefore neither rational not irrational.

Your question is similar to asking if 0.5 is even or odd. Even and odd parity only apply to the integers so it wouldn't make sense to ask if a non-integer was even or odd.