Question

Sums and products of rational and irrational numbers practice what type of numbers will result from the sum of a rational number and a irrational number one irrational to rational 30 4 equal

Answer 1

When you add a rational number to an irrational number, the result is always an irrational number.

For example:

1. Let's say you have a rational number, like \( 30 \) (which can be expressed as \( \frac{30}{1} \)), and an irrational number, like \( \sqrt{2} \).
2. If you add them together:
\[
30 + \sqrt{2}
\]
The result \( 30 + \sqrt{2} \) is irrational.

So if you add any rational number to an irrational number, the result will be irrational.

### Summary:
- **Rational + Irrational = Irrational**

Thus, for your question, if you have \( 30 \) (rational) and \( 4 \) (which is also rational) and are adding any irrational number to either one of them, the sum will still remain irrational when involving at least one irrational number.