Evaluate: $$\sqrt{17 + \sqrt{56 + \sqrt{60 + \sqrt{9 + \sqrt{49}}}}}$$​​

Correct option is D

Given:​

​$$\sqrt{17 + \sqrt{56 + \sqrt{60 + \sqrt{9 + \sqrt{49}}}}}$$

Solution:​

$$\sqrt{17 + \sqrt{56 + \sqrt{60 + \sqrt{9 + 7}}}} \\ \ \\=\sqrt{17 + \sqrt{56 + \sqrt{60 + \sqrt{16}}}}\\ \ \\=\sqrt{17 + \sqrt{56 + \sqrt{60 + 4}}}\\ \ \\=\sqrt{17 + \sqrt{56 + \sqrt{64}}}\\ \ \\=\sqrt{17 + \sqrt{56 + 8}}\\ \ \\=\sqrt{17 + \sqrt{64}}\\ \ \\=\sqrt{17 + 8}\\ \ \\=\sqrt{25} =5$$​​