√24+8 √6= 5√92-√2300= 1 _ 0.5√80 - 6 √180+9 √605= 1_ √1200 - 2_√2700-0.4√243= 2...

$\sqrt{24}+8\sqrt{6}=\sqrt{4}*\sqrt{6}+8\sqrt{6}=\sqrt{6}(2+8)=10\sqrt{6}$

$5\sqrt{92}-\sqrt{2300}=5\sqrt{23}*\sqrt{4}-\sqrt{23}*\sqrt{100}=\sqrt{23}*(5*2-10)=0$

$0,5\sqrt{80}-1/6 *\sqrt{180}+9\sqrt{605}=$ $0,5\sqrt{2*5*4*2}-1/6 *\sqrt{9*4*5}+9\sqrt{5*121}=$ $0,5*4\sqrt{5}-1/6 *6\sqrt{5}+9*11\sqrt{5}=2\sqrt{5}-\sqrt{5}+99\sqrt{5}=$ $100\sqrt{5}$

$1/2 *\sqrt{1200}-2/5 *\sqrt{2700}-0,4\sqrt{243}=$ $1/2 *\sqrt{3*4*100}-2/5 *\sqrt{3*9*100}-0,4\sqrt{3*81}=$ $1/2 *20\sqrt{3}-2/5 *\sqrt{3}-0,4*9\sqrt{3}=$ $10\sqrt{3}-12\sqrt{3}-3,6\sqrt{3}=-5,6\sqrt{3}$

$(\sqrt{12}-\sqrt{75})\sqrt{3}=\sqrt{12}*\sqrt{3}-\sqrt{75}*\sqrt{3}=$ $\sqrt{36}-\sqrt{225}=6-15=-9$

$(7\sqrt{4}+\sqrt{27})*\sqrt{3}=7*2\sqrt{3}+\sqrt{27}*\sqrt{3}=$ $14\sqrt{3}+9$