a)3√81-4√25+6√72=3*9-4*5+6*6√2=27-20+36√2=7+36√2 b)√20-√45+6√80=2√5-3√5+6*4√5=-√5+24√5=23√5 c)√27+√48-√243=3√3+4√3-9√3=7√3-9√3=-2√3 licze na naj
a) [latex]3sqrt{81}-4sqrt{25}+6sqrt{72}= 3 cdot 9 - 4 cdot 5 + 6 sqrt{36 cdot 2}= 27 - 20 + 6 cdot 6sqrt{2} = 7 + 36sqrt{2}[/latex] b) [latex]sqrt{20}-sqrt{45}+6sqrt{80}= sqrt{4 cdot 5} - sqrt{9 cdot 5} + 6sqrt{16 cdot 5} = 2sqrt{5}-3sqrt{5} +6 cdot 4sqrt{5} = [/latex] [latex]= 2sqrt{5}-3sqrt{5} +24sqrt{5} = 23sqrt{5} [/latex] c) [latex]sqrt{27}+sqrt{48}-sqrt{243}= sqrt{9 cdot 3}+sqrt{16 cdot 3}-sqrt{81 cdot 3}= 3sqrt{3}+4sqrt{3}-9sqrt3}= [/latex] [latex]= -2sqrt3}[/latex]
