Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Which of the following is an irrational number?
Options
A \( 5 + \sqrt{6} \)
Correct Answer
B \( \sqrt{36} \)
C \( \frac{22}{7} \)
D 0.125
Correct Answer

Option A is the correct answer.

Detailed Explanation

5 + √6 is irrational because √6 is irrational and adding a rational number (5) does not make it rational. √36 = 6 (rational), 22/7 is rational, 0.125 = 1/8 is rational.

Hint

Irrational numbers cannot be expressed as a fraction p/q. √6 is irrational.

Question Info