What will come in place of ? to satisfy the equation: ( √(3) + 2)² = ? + 4√(3) ?

What will come in place of ? to satisfy the equation: (…

What will come in place of ? to satisfy the equation: ( $\sqrt{3}$ + 2)² = ? + $4\sqrt{3}$ ?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 7.

( $\sqrt{3}$ + 2)² = ? + $4\sqrt{3}$

⇒ (√3)² + 2(√3)(2) + 2² = ? + 4√3

⇒ 3 + 4√3 + 4 = ? + 4√3

⇒ 3 + 4 = ?

⇒ ? = 7