​Evaluate the positive value of:

$$\sqrt{107 + \sqrt{192 + \sqrt{11 + \sqrt{25}}}}$$​​

Correct option is C

Solution:

$$\sqrt{107 + \sqrt{192 + \sqrt{11 + \sqrt{25}}}}$$

=$$\sqrt{107 + \sqrt{192 + \sqrt{11 + 5}}}$$

=$$\sqrt{107 + \sqrt{192 + \sqrt{16}}}$$

=$$\sqrt{107 + \sqrt{192 + 4}}$$

=$$\sqrt{107 + \sqrt{196}}$$

=$$\sqrt{107 +14 }$$

=$$\sqrt{121}$$ = 11

Thus, option (C) is right.