A rational number is a real number that can be expressed as a ratio of two integers; an irrational number cannot be so expressed.
Yes.
No, it is always irrational.
A decimal rational number can be expressed as a fraction A decimal irrational number can not be expressed as a fraction
The sum of a rational and an irrational number is always irrational. Here is a brief proof:Let a be a rational number and b be an irrational number, and c = a + b their sum. By way of contradiction, suppose c is also rational. Then we can write b = c - a. But since c and a are both rational, so is their difference, and this means that bis rational as well. But we already said that b is an irrational number. This is a contradiction, and hence the original assumption was false. Namely, the sum c must be an irrational number.
Irrational.
Yes.
There is no number which can be rational and irrational so there is no point in asking "how".
No, it is always irrational.
-- There's an infinite number of rational numbers. -- There's an infinite number of irrational numbers. -- There are more irrational numbers than rational numbers. -- The difference between the number of irrational numbers and the number of rational numbers is infinite.
A decimal rational number can be expressed as a fraction A decimal irrational number can not be expressed as a fraction
rational and irrational
Rational
It is a rational number.
The sum of a rational and an irrational number is always irrational. Here is a brief proof:Let a be a rational number and b be an irrational number, and c = a + b their sum. By way of contradiction, suppose c is also rational. Then we can write b = c - a. But since c and a are both rational, so is their difference, and this means that bis rational as well. But we already said that b is an irrational number. This is a contradiction, and hence the original assumption was false. Namely, the sum c must be an irrational number.
is 34.54 and irrational or rational. number
Irrational.
it is a rational number but 4.121314..... is an irrational no