[latex]a)\\ sqrt{ 16}=sqrt{4^2}=(4^2)^{frac{1}{2}} =4 \\b) \\ sqrt[3]{8}=sqrt[3]{2^3} =(2^3)^{frac{1}{3}}=2[/latex] [latex]c) \\ sqrt[3]{5^3}=(5^3)^{frac{1}{3}})= 5\\d )\\( sqrt{3})^2 =(3^{frac{1}{2}})^2= 32[/latex] [latex]2a)\\ frac{1}{sqrt{2}} =frac{1}{sqrt{2}}* frac{ sqrt{2}}{sqrt{2}} =frac{sqrt{2}}{2}\ \[/latex] [latex]b)\\ frac{2}{ sqrt[3]{3}}*frac{sqrt[3]{9 }}{sqrt[3]{9}}=frac{2sqrt[3]{9}}{sqrt[3]{3*9}}= frac{2sqrt[3]{9}}{sqrt[3]{27}}= frac{2sqrt[3]{9}}{3}[/latex]
1. [latex]a) sqrt{16} =4 b) sqrt[3]{8} =2 c) sqrt[3]{ 5^{3} } = sqrt[3]{125} =5 d) sqrt{3} ^{2} =3[/latex] 2. [latex]a) frac{1}{ sqrt{2} } = frac{1 sqrt{2} }{ sqrt{2} sqrt{2} } = frac{1 sqrt{2} }{2} = frac{1}{2} sqrt{2} [/latex] b)[latex] frac{2}{3 sqrt{3} } = frac{2 sqrt{3} }{3 sqrt{3} sqrt{3} } = frac{2 sqrt{3} }{3*3} = frac{2 sqrt{3} }{9} = frac{2}{9} sqrt{3} [/latex] liczę na naj:)
