No. The statement is wrong. It does not hold water.
False. Irrational numbers are real numbers.
Ye it is true that all irrational numbers are real numbers that can't be expressed as fractions.
Yes.
Rational numbers can be expressed as fractions whereas irrational numbers can't be expressed as fractions
Yes, no irrational numbers are whole numbers.
For any given subset, yes, because there are an infinite number of irrational numbers for each rational number. But for the set of ALL real numbers, both are infinite in number, even though the vast majority of real numbers would be irrational.
In that case, the discriminant is not a perfect square.
In between any two rational numbers there is an irrational number. In between any two irrational numbers there is a rational number.
In between any two rational numbers there is an irrational number. In between any two Irrational Numbers there is a rational number.
No. For example, pi is a real number, but it is irrational (it cannot be converted into an exact fraction).The reverse is true, however: all rational numbers are also real numbers.
It is false.
No, that is not true.