The Sum of Rational and Irrational Numbers: Rational or Irrational?

sum of rational number and irrational number is

The sum of a rational number and an irrational number can be either rational or irrational, depending on the specific numbers involved

The sum of a rational number and an irrational number can be either rational or irrational, depending on the specific numbers involved.

Let’s consider an example:

Let’s say we have the rational number 3/4 and the irrational number √2.

If we add these two numbers, we get:

3/4 + √2

In this case, the sum is an irrational number. This is because when we add a rational number (3/4) to an irrational number (√2), the result will always be irrational.

However, if we consider a different example:

Let’s say we have the rational number 2/5 and the irrational number -√5.

If we add these two numbers, we get:

2/5 + (-√5)

In this case, the sum is a rational number. This is because when we add a rational number (2/5) to a negative irrational number (-√5), the result can be rational.

In summary, the sum of a rational number and an irrational number can be either rational or irrational, depending on the specific numbers involved.

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