Oblicz: a) [latex] (sqrt{24}-4 sqrt{3}+2 sqrt{12})* sqrt{6}= [/latex] b) [latex](5 sqrt{96}+4 sqrt{24}-3 sqrt{216}):2 sqrt{6}= [/latex]

[latex]a) =(sqrt{4*6}-4sqrt3+2sqrt{4*3})*sqrt6 =(2sqrt6-4sqrt3+4sqrt3)*sqrt6 =\\2sqrt6*sqrt6 = 2*6 = 12\\b)=(5sqrt{16*6}+4sqrt{4*6}-3sqrt{36*6} ):2sqrt6 = \\(5*4sqrt6+4*2sqrt6-3*6sqrt6):2sqrt6=(20sqrt6+8sqrt6-18sqrt6):2sqrt6=\\10sqrt6:2sqrt6 = 5[/latex]

a) [latex] sqrt{144}-4 sqrt{2*9}+ 2sqrt{2*36} =12-12 sqrt{2}+12 sqrt{2}=12 [/latex] b) [latex] frac{5}{2} sqrt{ frac{96}{6} }+2 sqrt{ frac{24}{6} } - frac{3}{2} sqrt{ frac{216}{6} } = frac{5}{2} sqrt{16 }+2 sqrt{ 4 } - frac{3}{2} sqrt{ 36 } = [/latex][latex]frac{5}{2}*4+2*2 - frac{3}{2}*6 =10+4-9=5[/latex] liczę na naj M