If $$\sqrt {1 + \frac{x}{{169}}} {\text{ = }}\frac{{14}}{{13}}{\text{,}}$$ then x is equal to ?
A. 1
B. 13
C. 27
D. None of these
Answer: Option C
Solution (By Examveda Team)
$$\eqalign{ & \Rightarrow \sqrt {1 + \frac{x}{{169}}} = \frac{{14}}{{13}} \cr & \Rightarrow 1 + \frac{x}{{169}} = \frac{{196}}{{169}} \cr & \Rightarrow \frac{x}{{169}} = \left( {\frac{{196}}{{169}} - 1} \right) \cr & \Rightarrow \frac{x}{{169}} = \frac{{27}}{{169}} \cr & \Rightarrow x = 27 \cr} $$This Question Belongs to Arithmetic Ability >> Square Root And Cube Root
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