SOLUTION: . From the set {6i, -4/5, √5, √-16, 2/7, 12, -5, √9, 1/3} a) List the set of Natural numbers = b) List the set of Rational numbers = c) List the set of Irrati

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Question 987630: . From the set {6i, -4/5, √5, √-16, 2/7, 12, -5, √9, 1/3}
a) List the set of Natural numbers =
b) List the set of Rational numbers =
c) List the set of Irrational numbers =
d) List the set of Imaginary numbers (neither Rational or Irrational Numbers) =

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


12 is the only natural number.

are rational

is irrational.

Saying "the set of Imaginary numbers" is a poor way to describe things. In fact there is only one Imaginary number and that is which is defined as .

Everything else someone might have told you is a member of the set of Imaginary numbers is simply with some real number coefficient. The actual set is the set of Complex numbers:



Hence, is a complex number of the form , and is a complex number of the form

Note that the set of Real numbers is a subset of the Complex numbers, thus:



John

My calculator said it, I believe it, that settles it

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