Math and Arithmetic

Numbers

Irrational Numbers

# Is every Real number an irrational number?

###### Wiki User

###### 2010-07-01 20:11:36

No, a real number could also be a rational number, an integer, a

whole number, or a natural number. Irrational numbers fall into the

same category of real numbers, but every real number is not an

irrational number.

## Related Questions

###### Asked in Numbers

### Is every real number is rational?

###### Asked in Math and Arithmetic, Mathematical Analysis

### Is every irrational number a complex number?

Yes! Every complex number z is a number, z = x + iy with x and y
belonging to the field of real numbers. The real number x is called
the real part and the real number y that accompanies i and called
the imaginary part. The set of real numbers is formed by the
meeting of the sets of rational numbers with all the irrational,
thus taking only the complex numbers with zero imaginary part we
have the set of real numbers, so then we have that for any
irrational r is r real and complex number z = r + i0 = r and we r
so complex number. So every irrational number is complex.