An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator.
No. Recurring decimals are rational numbers.
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Some would say that there is no intersection. However, if the set of irrational numbers is considered as a group then closure requires rationals to be a proper subset of the irrationals.
They are irrational numbers!
They are numbers that are infinite
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.
An imaginary number i is defined as the square root of -1, so if you have something like the square root of -2, the answer would be i root 2, and that would be considered an irrational non-real number.* * * * *Not quite. The fact that irrational coefficients can be used, in conjunction with i to create complex numbers (or parts of complex numbers) does not alter the fact that all irrational numbers are real numbers.
properties of irrational numbers
Yes, no irrational numbers are whole numbers.
No. Irrational numbers are real numbers, therefore it is not imaginary.
Not necessarily. The sum of two irrational numbers can be rational or irrational.
No, but the majority of real numbers are irrational. The set of real numbers is made up from the disjoint subsets of rational numbers and irrational numbers.