Question

If \( (\sqrt{3} + 1)^n + (\sqrt{3} - 1)^n = 4 \), then the value of \( n \) is:

• A. 1
• B. 2
• C. 3
• D. \( \frac{3}{2} \)

Hint:

Substitute different values of n into the equation to check for consistency.

Answer 1

The Correct Option is B

By testing the values of n, we find that when n = 2, the equation holds true. This can be verified by directly substituting into the equation and calculating both sides.