Question

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

Answer 1

Factorise:

$1183=7\times 13\times 13$

$2023=7\times 17\times 17$

$\frac{\sqrt{1183}}{\sqrt{2023}}=\sqrt{\frac{7\times 13\times 13}{7\times 17\times 17}}$
$=\sqrt{\frac{13\times 13}{17\times 17}}$

$=\frac{13}{17}$