Answer
The statement, “Some irrational numbers are not complex numbers” is false. All the irrational numbers are complex numbers.
Work Step by Step
Irrational numbers are the numbers which cannot be represented in the form $\frac{p}{q}$, where $p,\text{ }q$ are integers and $q\ne 0$.
Irrational numbers in the decimal form are the numbers which do not terminate, like $\text{ }\!\!\pi\!\!\text{ }$ and$\sqrt{2}$.
A complex number is also called an imaginary number. The standard form of the complex number is $\left( a+bi \right)$, where $a$ and $b$ are the real numbers.
Real numbers are the combination of all the rational and irrational numbers.
Consider the value of $b$ to be equal to $0$, so that the complex number is equal to $a$ which can be the irrational number.
This means that all the irrational numbers are complex numbers.
Therefore, the provided statement is false.
