Question: Evaluate:
$\frac{\sqrt{1183}}{\sqrt{2023}}$
Solution:
We have:
$\frac{\sqrt{1183}}{\sqrt{2023}}$
$=\sqrt{\frac{1183}{2023}}$
$=\sqrt{\frac{169}{289}}$
$=\frac{\sqrt{169}}{\sqrt{289}}$
$=\frac{\sqrt{13 \times 13}}{\sqrt{17 \times 17}}$
$=\frac{13}{17}$