Which numbers are both integers and irrational numbers

There are no numbers that are both integers and irrational numbers. Integers are whole numbers that can be positive, negative, or zero, while irrational numbers are numbers that cannot be expressed as a fraction of two integers and have non-repeating, non-terminating decimal representations. Integers can be rational (expressed as a fraction of two integers) or irrational, but they cannot be both at the same time.

There are no numbers that are both integers and irrational numbers. Integers are whole numbers (including negative numbers) that can be expressed without fractions or decimals, while irrational numbers cannot be expressed as a fraction and have an infinite number of non-repeating decimals. These two sets of numbers are mutually exclusive, so there is no overlap between them.

In mathematics, an integer is a whole number that can be either positive, negative, or zero, and does not have a fractional or decimal part. On the other hand, an irrational number is a real number that cannot be expressed as a ratio of two integers. Irrational numbers are non-repeating and non-terminating decimals.

Since integers do not have a fractional part, they are always rational numbers. Hence, there are no integers that can be both integers and irrational numbers.