Question

Помогите решить задание вот

Answer 1

Объяснение:

$a)\ 10\sqrt{3} -4\sqrt{48}-\sqrt{75} =10\sqrt{3}-4\sqrt{16*3}-\sqrt{25*3}=10\sqrt{3}-4*4\sqrt{3}-5\sqrt{3}= \\=10\sqrt{3}-16\sqrt{3}-5\sqrt{3} =-11\sqrt{3}.\\b)\ (5\sqrt{2} -\sqrt{18} )*\sqrt{2} =5*2-\sqrt{9*2}*\sqrt{2}=10-3\sqrt{2} *\sqrt{2}=10-3*2=10-6=4.\\c)\ (3-\sqrt{2})^2=3^2-2*3*\sqrt{2} +(\sqrt{2})^2=9-6\sqrt{2}+2=11-6\sqrt{2}.$

$d)\ (\sqrt{5}-\sqrt{18})*(\sqrt{18}+\sqrt{5})+\sqrt{225} = (\sqrt{5}-\sqrt{18})*(\sqrt{5} +\sqrt{18})+15 =\\= (\sqrt{5})^2-(\sqrt{18})^2+15=5-18+15=-13+15=2.$