Question

Evaluate:
$\frac{\sqrt{1183}}{\sqrt{2023}}$

Answer 1

We have:

$$\begin{gathered} \frac{\sqrt{1183}}{\sqrt{2023}} \\ =\sqrt{\frac{1183}{2023}} \\ =\sqrt{\frac{169}{289}} \\ =\frac{\sqrt{169}}{\sqrt{289}} \\ =\frac{\sqrt{13\times 13}}{\sqrt{17\times 17}} \\ =\frac{13}{17} \end{gathered}$$