By Poonam

Verified by Ajay Kumar

Simplify the expression: (√3 + √5)² + (√3 − √5)² + 2(√3 + √5)(√3 − √5)

  1. 15

  2. 10

  3. 18

  4. 12

Answer: D

Solution

Let a = √3 + √5 and b = √3 − √5. Using a² + b² + 2ab = (a + b)², the expression becomes (2√3)² = 12.

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