Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

The sum or difference of two irrational numbers is always
Options
A rational
B irrational
C rational or irrational
Correct Answer
D not determined
Correct Answer

Option C is the correct answer.

Detailed Explanation

The sum or difference of two irrational numbers can be either rational or irrational. For example, √2 + (-√2) = 0 (rational), while √2 + √3 is irrational.

Hint

Consider counterexamples.

Question Info