Question

$if \sqrt{1+ \frac{27}{169} } =1 + \frac{x}{13} then x=?$

Answer 1

$\sqrt{1+\frac{27}{169} } = 1 + \frac{x}{13}\\ \\\sqrt{\frac{169+27}{169}}=\sqrt{196/169}=\frac{14}{13}=1+\frac{x}{13}\\ \\Multiply\ with\ 13\ through\ out.\\ \\14 = 13 + x\\ \\14 - 13 = x \\ \\ x= 1$

Answer 2

L.H.S
√1+27
     169
√169+27
 √  169
√196
√169
14
13
Now,
14   = 1 + x
13           13
14  = 13 + x
13        13
14=13+x [13 cancelled 13]
14-13=x
1=x
x=1