Multiple choice general knowledge math & puzzles

column A : sqrt( z^4 - 8z^2 + 16) column B : (Z^2 - 4)

  1. Col A is greater

  2. Col B is greater

  3. Both are same

  4. Can't be determined.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Column A simplifies to sqrt((z²-4)²) = |z²-4|, which is the absolute value of Column B. When z²-4 ≥ 0 (i.e., |z| ≥ 2), both columns are equal. When z²-4 < 0 (i.e., -2 < z < 2), Column A equals 4-z² which is positive, while Column B is negative. Since the relationship changes based on z's value, it cannot be determined universally.

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