Question

Помогите пожалуйста с алгеброй, один пример

Answer 1

$\displaystyle (\sqrt[6]{27}-\sqrt[4]{100})(\sqrt[6]{27}+\sqrt[4]{100})=(\sqrt[6]{3^3}-\sqrt[4]{10^2})(\sqrt[6]{3^3}+\sqrt[4]{10^2})=\\ \\ (\sqrt{3}-\sqrt{10})(\sqrt{3}+\sqrt{10})=3-10=-7$

Answer 2

$\displaystyle\bf\\(\sqrt[6]{27} -\sqrt[4]{100} )(\sqrt[6]{27} +\sqrt[4]{100} )=(\sqrt[6]{3^{3} } -\sqrt[4]{10^{2} } )(\sqrt[6]{3^{3} } +\sqrt[4]{10^{2} } )=\\\\=(\sqrt{3} -\sqrt{10} )(\sqrt{3} +\sqrt{10} )=(\sqrt{3} )^{2} -(\sqrt{10} )^{2} =3-10=-7$