Description for Correct answer:
We know that, \( \Large \left(a+b\right)^{2}=a^{2}+b^{2}+2ab \)

=\( \Large 234+2 \times 108=450 \)

\( \Large \left(a-b\right)^{2}=a^{2}+b^{2}-2ab \)

=\( \Large 234-2 \times 108=18 \)

Therefore, \( \Large \frac{ \left(a+b\right)^{2} }{ \left(a-b\right)^{2} }=\frac{450}{18}=25 => \left(\frac{a+b}{a-b}\right)^{2}=25 \)

Therefore, \( \Large \frac{a+b}{a-b}=\sqrt{25}=5 \)