Evaluate:

​$$\sqrt{3 + \sqrt{32 + \sqrt{8 + \sqrt{57 + \sqrt{49}}}}}$$​​

Correct option is A

Given:

​$$\sqrt{3 + \sqrt{32 + \sqrt{8 + \sqrt{57 + \sqrt{49}}}}}$$​​

Solution:

​$$\sqrt{3 + \sqrt{32 + \sqrt{8 + \sqrt{57 + \sqrt{49}}}}} \\ \ \\ = \sqrt{3 + \sqrt{32 + \sqrt{8 + \sqrt{57 + 7}}}}\\ \ \\ = \sqrt{3 + \sqrt{32 + \sqrt{8 + \sqrt{64}}}}\\ \ \\ = \sqrt{3 + \sqrt{32 + \sqrt{8 + 8}}}\\ \ \\ = \sqrt{3 + \sqrt{32 + 4}}\\ \ \\ = \sqrt{3 + \sqrt{36}}\\ \ \\ = \sqrt{3 + 6} \\ \ \\ = 3$$​​