Bonjour;
[tex]\dfrac{14^8\times49^{-6}\times4^{-3}}{14^8\times4^{-3}} = 49^{-6} on\ simplifie\ par\ 14^8\ et\ 4^{-3}\\\\\\=(7^2)^{-6}=7^{-12}\ .\\\\\\\\[/tex]
[tex](5\sqrt{11}+3\sqrt{2})(5\sqrt{11}+3\sqrt{2})=(5\sqrt{11}+3\sqrt{2} )^2\\\\\\=(5\sqrt{11})^2+(3\sqrt{2})^2+2\times5\times\sqrt{11}\times3\times\sqrt{2} \\\\\\=5^2\sqrt{11}^2+3^2\sqrt{2}^2+30\sqrt{11\times2} \\\\\\=25\times11+9\times2+30\sqrt{22} =275+18+30\sqrt{22}=293+30\sqrt{22}\ .[/tex]
