Find the value of $$x$$​ if $$\sqrt{1 + \frac{x}{144}} = \frac{13}{12}$$ .​

Correct option is C

Given:

$$\sqrt{1 + \frac{x}{144}} = \frac{13}{12}$$

Solution:

$$\sqrt{1 + \frac{x}{144}} = \frac{13}{12}$$

​$${1 + \frac{x}{144}} = \frac{169}{144}$$

$${\frac{144 + x}{144}} = \frac{169}{144}$$

144 + x= 169

x= 169 - 144

x=25

Option (c) is right.