Question Detail

MTH 101 MTH 101 Past Questions Objective Question
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Question

Write in simplest form: 2/(3+√5)
Options
A (3-2√2)/3
B (4-2√2)/4
C (6-2√5)/4
Correct Answer
D (8-2√4)/4
Correct Answer

Option C is the correct answer.

Detailed Explanation

Rationalize: 2/(3+√5) = 2(3-√5)/((3+√5)(3-√5)) = 2(3-√5)/(9-5) = 2(3-√5)/4 = (6-2√5)/4.

Hint

Multiply numerator and denominator by the conjugate.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 443 of 696
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