$3\sqrt{3} = \sqrt{9 * 3} = \sqrt{27}$;
$2\sqrt{6} = \sqrt{4 * 6} = \sqrt{24}$;
$\sqrt{29}$;
$4\sqrt{2} = \sqrt{16 * 2} = \sqrt{32}$;
$2\sqrt{11} = \sqrt{4 * 11} = \sqrt{44}$.
$\sqrt{24} < \sqrt{27} < \sqrt{29} < \sqrt{32} < \sqrt{44}$, значит:
$2\sqrt{6} < 3\sqrt{3} < \sqrt{29} < 4\sqrt{2} < 2\sqrt{11}$.

$6\sqrt{2} = \sqrt{36 * 2} = \sqrt{72}$;
$\sqrt{58}$;
$3\sqrt{7} = \sqrt{9 * 7} = \sqrt{63}$;
$2\sqrt{14} = \sqrt{4 * 14} = \sqrt{56}$;
$5\sqrt{3} = \sqrt{25 * 3} = \sqrt{75}$.
$\sqrt{56} < \sqrt{58} < \sqrt{63} < \sqrt{72} < \sqrt{75}$, значит:
$2\sqrt{14} < \sqrt{58} < 3\sqrt{7} < 6\sqrt{2} < 5\sqrt{3}$.

$-\sqrt{11}$;
$-2\sqrt{5} = -\sqrt{4 * 5} = -\sqrt{20}$;
$\sqrt{2}$;
$-2\sqrt{6} = -\sqrt{4 * 6} = -\sqrt{24}$;
$-\sqrt{51}$.
$-\sqrt{51} < -\sqrt{24} < -\sqrt{20} < -\sqrt{11} < \sqrt{2}$, значит:
$-\sqrt{51} < -2\sqrt{6} < -2\sqrt{5} < -\sqrt{11} < \sqrt{2}$.

$-\sqrt{83}$;
$-9\sqrt{2} = -\sqrt{81 * 2} = -\sqrt{162}$;
$-\sqrt{17}$;
$-5\sqrt{8} = -\sqrt{25 * 8} = -\sqrt{200}$;
$-\frac{1}{3}\sqrt{18} = -\sqrt{\frac{1}{9} * 18} = -\sqrt{2}$.
$-\sqrt{200} < -\sqrt{162} < -\sqrt{83} < -\sqrt{17} < -\sqrt{2}$, значит:
$-5\sqrt{8} < -9\sqrt{2} < -\sqrt{83} < -\sqrt{17} < -\frac{1}{3}\sqrt{18}$.