🎧 New: AI-Generated Podcasts Turn your study notes into engaging audio conversations. Learn more

Is the sum of a rational number and an irrational number irrational?

Understand the Problem

The question is asking whether adding a rational number (a number that can be expressed as a fraction) to an irrational number (a number that cannot be expressed as a simple fraction) results in an irrational number. The high-level approach to solve this involves understanding the definitions and properties of rational and irrational numbers.

Answer

Irrational

The final answer is that the sum of a rational number and an irrational number is always irrational.

Answer for screen readers

The final answer is that the sum of a rational number and an irrational number is always irrational.

More Information

An interesting aspect of this property is that it holds consistently, no matter which rational or irrational numbers you choose.

Tips

A common mistake is assuming that the sum could sometimes be rational. To avoid this, remember that subtracting a rational number from another cannot yield an irrational number.

Thank you for voting!
Use Quizgecko on...
Browser
Browser