# Is i in algebra rational or irrational?

"i" as in imaginary number

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• 1 month ago

Rational for most people's needs.

Complex once you get below the surface.

• 1 month ago

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

• 1 month ago

neither because rational and irrational apply only to real numbers

• 1 month ago

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

• ?
Lv 7
1 month ago

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

• 1 month 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.

• 1 month 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.

Neither

• 1 month ago

Can i be expressed as the ratio of 2 integers?  If yes, then it is rational.  If not, then it is irrational.