If A is equal to √5 + 1 / √5 – 1, B is equal to √5 – 1 / √5 + 1 then A + B is:

by

A. 3 
B. 6
C. 5
D. 4

🧠 Explanation (Math):

Given: A = (√5 + 1)/(√5 − 1), B = (√5 − 1)/(√5 + 1); find A + B
Step 1: Common denominator (√5 − 1)(√5 + 1) = 5 − 1 = 4
Step 2: Numerator sum = (√5 + 1)² + (√5 − 1)² = (6 + 2√5) + (6 − 2√5) = 12
Step 3: A + B = 12/4 = 3
Final Answer: 3