0
Yes
Wiki User
∙ 12y ago
Add your answer:
Earn +20 pts
The sum of a rational number and an irrational number is?
The sum of a rational and irrational number must be an irrational number.
Sum of two irrational numbers?
Can be rational or irrational.
The sum of a rational number and an irrational number?
Such a sum is always irrational.
Is the sum of two rational numbers is it rational or irrational?
Such a sum is always rational.
Why will the sum of an irrational number and any other number always be irrational?
The proposition is not true.pi and -pi are both irrational. But their sum, = 0, is rational.
What is an irrational plus two rational numbers?
Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.
What will be the sum of a rational number and an irrational number?
It will be irrational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
The sum of rational numbers and an irrational number?
It is always an irrational number.
Is the sum of any two irrational number is an irrational number?
The sum of two irrational numbers may be rational, or irrational.
Can you add two irrational numbers to get a rational number?
Yes Yes, the sum of two irrational numbers can be rational. A simple example is adding sqrt{2} and -sqrt{2}, both of which are irrational and sum to give the rational number 0. In fact, any rational number can be written as the sum of two irrational numbers in an infinite number of ways. Another example would be the sum of the following irrational quantities [2 + sqrt(2)] and [2 - sqrt(2)]. Both quantities are positive and irrational and yield a rational sum. (Four in this case.) The statement that there are an infinite number of ways of writing any rational number as the sum of two irrational numbers is true. The reason is as follows: If two numbers sum to a rational number then either both numbers are rational or both numbers are irrational. (The proof of this by contradiction is trivial.) Thus, given a rational number, r, then for ANY irrational number, i, the irrational pair (i, r-i) sum to r. So, the statement can actually be strengthened to say that there are an infinite number of ways of writing a rational number as the sum of two irrational numbers.
What is the sum of two irrational numbers?
It may be a rational or an irrational number.
Is the sum of a rational number irrational?
No - the sum of any two rational numbers is still rational:
If you add two irrational numbers do you get an irrational number?
Not necessarily. The sum of two irrational numbers can be rational or irrational.
The sum of a rational number and an irrational number is?
The sum of a rational and irrational number must be an irrational number.
Can 2 irrational add to an irrational number?
Yes. The sum of two irrational numbers can be rational, or irrational.
May the sum of a rational and an irrational number only be a rational number?
No. In fact the sum of a rational and an irrational MUST be irrational.
What is the sum of a rational number and irrational number?
The value of the sum depends on the values of the rational number and the irrational number.
