​Solve the following.​

​$$\sqrt{37 + \sqrt{130 + 2\sqrt{56 - \sqrt{16} - \sqrt{9}}}}$$ = ?

Correct option is A

Given:

$$\sqrt{37 + \sqrt{130 + 2\sqrt{56 - \sqrt{16} - \sqrt{9}}}}$$

Solution:

$$\sqrt{37 + \sqrt{130 + 2\sqrt{56 - \sqrt{16} - \sqrt{9}}}}$$

​=$$\sqrt{37 + \sqrt{130 + 2\sqrt{56 - 4 - 3}}}$$

=$$\sqrt{37 + \sqrt{130 + 2\sqrt{49}}}$$

=$$\sqrt{37 + \sqrt{130 + 2\times 7}}$$​

=$$\sqrt{37 + \sqrt{130 + 14}}$$​

=$$\sqrt{37 + \sqrt{144}}$$

=$$\sqrt{37 + 12}$$​

=$$\sqrt {49}= 7$$

Option (a) is right.