[tex]d)\ \ (\sqrt[4]{3}-1)(\sqrt[4]{3}+1)(\sqrt{3}+1)=((\sqrt[4]{3})^2-1^2)(\sqrt{3}+1)=((3^{\frac{1}{4}})^2-1)(\sqrt{3}+1)=\\\\=(3^{\frac{1}{2}}-1)(\sqrt{3}+1)=(\sqrt{3}-1)(\sqrt{3}+1)=(\sqrt{3})^2-1^2=3-1=2\\\\\\Zastosowano\ \ wz\'or\ \ skr\'oconego\ \ mno\.zenia\\\\(a-b)(a+b)=a^2-b^2[/tex]
