Question Detail

MTH 101 MTH 101 Past Questions Objective Question
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Question

If \( a > b > 0 \), then
Options
A \( \sqrt{b} < \sqrt{a} \)
Correct Answer
B \( \frac{1}{a} > \frac{1}{b} \)
C \( \frac{1}{a} < \frac{1}{b} \)
D \( a^2 < b^2 \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

If a > b > 0, then taking square roots preserves the inequality: √a > √b, so √b < √a. Also, reciprocals reverse: 1/a < 1/b. Squaring preserves: a² > b².

Hint

Recall properties of inequalities with positive numbers.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 559 of 696
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