2+sqrt(3) x 2+2+sqrt(3) x 2+2+2+sqrt(3) x 2-2+2+sqrt(3) is equal to Option 1: 1 Option 2: 2 Option 3: 4 Option 4: sqrt(6)

The answer is '1'. View full solution:

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$\sqrt{2+\sqrt{3}} \times \sqrt{2+\sqrt{2+\sqrt{3}}} \times \sqrt{2+\sqrt{2+\sqrt{2+\sqrt{3}}}} \times \sqrt{2-\sqrt{2+\sqrt{2+\sqrt{3}}}}$ is equal to

$1$

$2$

$4$

$\sqrt{6}$

✅ Correct Option: 1

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