Multiple choice general knowledge math & puzzles

Let a = 1 + (the square root of 3). Then a^2 =

  1. 4

  2. 1 + 3 * (the square root of 3)

  3. 4 + (the square root of 3)

  4. 4 + 2 * (the square root of 3)
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

a² = (1 + √3)² = 1² + 2(1)(√3) + (√3)² = 1 + 2√3 + 3 = 4 + 2√3. Use the perfect square formula (a + b)² = a² + 2ab + b². Don't forget the middle term 2ab - that's where the 2√3 comes from.

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