Oblicz. a)   (pierwiastek z 10 + pierwiastek z 2) do potęgi 2 b)   (pierwiastek z 21 + pierwiastek z 3) do potęgi 2 c)   (dwa pierwiastki z 2 - pierwiastek z 6) do potęgi 2

[latex] (a+b)^{2}=a^{2} +2ab+b^{2}[/latex] [latex] (a-b)^{2}=a^{2} -2ab+b^{2}[/latex] [latex]a)( sqrt{10} + sqrt{2})^{2}= sqrt{10}^{2} +2* sqrt{10} *sqrt{2}+sqrt{2}^{2}=10+2 sqrt{20}+2= \ =12+2 sqrt{4*5}=12+2*2 sqrt{5}=12+4 sqrt{4*5}[/latex] [latex]b)( sqrt{21} + sqrt{3})^{2}= sqrt{21}^{2} +2* sqrt{21} *sqrt{3}+sqrt{3}^{2}=21+2 sqrt{33}+3= \ =24+2 sqrt{33}[/latex] [latex]c)( 2sqrt{2} -sqrt{6})^{2}= (2sqrt{2})^{2} -2* 2sqrt{2} *sqrt{6}+sqrt{6}^{2}=4*2-4sqrt{12}+6= \ =8-4 sqrt{4*3}+6=14-4*2 sqrt{3}=14-8 sqrt{3}[/latex]