# Is i in algebra rational or irrational?

"i" as in imaginary number

Relevance
• Rational for most people's needs.

Complex once you get below the surface.

• Log in to reply to the answers
• I is an imaginary number, not a real number, therefore, it cannot be classified as rational or irrational.

• Log in to reply to the answers
• neither because rational and irrational apply only to real numbers

• Log in to reply to the answers
• It is not only not rational, it is not real.

• Log in to reply to the answers
• Log in to reply to the answers
• NEITHER. The number i belongs to the Complex Number System.

• Log in to reply to the answers
• 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.

• Log in to reply to the answers
• 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

• coshiro11 month agoReport

I get it now. Thank you so much!

• Log in to reply to the answers
• Can i be expressed as the ratio of 2 integers?  If yes, then it is rational.  If not, then it is irrational.

• Log in to reply to the answers
• Anonymous
1 month ago

irrational...............

• Log in to reply to the answers