general math MCQ #568

If A = (√5 + 1)/(√5 - 1) and B = (√5 - 1)/(√5 + 1), what is the value of A + B?

general math MCQ #568

  1. Question 1

    Q1. If A = (√5 + 1)/(√5 - 1) and B = (√5 - 1)/(√5 + 1), what is the value of A + B?

    • A) 3
    • B) 2
    • C) 1
    • D) 4√5

    Answer: 3

    Explanation: Rationalising each fraction: A = (√5+1)²/4 and B = (√5−1)²/4; A+B = [(6+2√5)+(6−2√5)]/4 = 12/4 = 3.