Question

Classify given pair of surds into like surds
$5\sqrt{22},7\sqrt{33}$ ,$\sqrt{52},5\sqrt{13}$

Answer 1

$5\sqrt{22},7\sqrt{33},\sqrt{52},5\sqrt{13}$

$5\sqrt{22},7\sqrt{33},\sqrt{4\times 13},5\sqrt{13}$

$5\sqrt{22},7\sqrt{33},2\sqrt{13},5\sqrt{13}$

Like surds:

$\{2\sqrt{13},5\sqrt{13}\},\left\{7\sqrt{33}\right\},\left\{5\sqrt{22}\right\}$

or $\{2\sqrt{13},5\sqrt{13}\},\left\{7\sqrt{33}\right\},\left\{5\sqrt{22}\right\}$