Question Detail

MTH 101 MTH 101 Past Questions Objective Question
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Question

The addition of a rational number and an irrational number is equal to:
Options
A rational number
B irrational number
Correct Answer
C both
D none of the above
Correct Answer

Option B is the correct answer.

Detailed Explanation

The sum of a rational number and an irrational number is always irrational. This can be proven by contradiction: if the sum were rational, then subtracting the rational number would leave the irrational number as rational, which is impossible.

Hint

Think about the closure properties of rational and irrational numbers.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 351 of 696
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