Sagot :
Bonsoir,
[tex]2\times1250^{\frac{1}{4}} +4\times32^{\frac{1}{4}} -6\times162^{\frac{1}{4}}\\\\=2\times(2\times5^4)^{\frac{1}{4}} +4\times(2\times2^4)^{\frac{1}{4}} -6\times(2\times3^4)^{\frac{1}{4}}\\\\=2\times2^{\frac{1}{4}}\times(5^4)^{\frac{1}{4}} +4\times2^{\frac{1}{4}}\times(2^4)^{\frac{1}{4}} -6\times2^{\frac{1}{4}}\times(3^4)^{\frac{1}{4}}\\\\=2\times2^{\frac{1}{4}}\times5^{4\times\frac{1}{4}} +4\times2^{\frac{1}{4}}\times2^{4\times{\frac{1}{4}}} -6\times2^{\frac{1}{4}}\times3^{4\times\frac{1}{4}}}[/tex]
[tex]=2\times2^{\frac{1}{4}}\times5 +4\times2^{\frac{1}{4}}\times2 -6\times2^{\frac{1}{4}}\times3\\\\=10\times2^{\frac{1}{4}}+8\times2^{\frac{1}{4}}-18\times2^{\frac{1}{4}}\\\\=(10+8-18)\times2^{\frac{1}{4}}\\\\=0\times2^{\frac{1}{4}}\\\\=0[/tex]
[tex]2\times1250^{\frac{1}{4}} +4\times32^{\frac{1}{4}} -6\times162^{\frac{1}{4}}\\\\=2\times(2\times5^4)^{\frac{1}{4}} +4\times(2\times2^4)^{\frac{1}{4}} -6\times(2\times3^4)^{\frac{1}{4}}\\\\=2\times2^{\frac{1}{4}}\times(5^4)^{\frac{1}{4}} +4\times2^{\frac{1}{4}}\times(2^4)^{\frac{1}{4}} -6\times2^{\frac{1}{4}}\times(3^4)^{\frac{1}{4}}\\\\=2\times2^{\frac{1}{4}}\times5^{4\times\frac{1}{4}} +4\times2^{\frac{1}{4}}\times2^{4\times{\frac{1}{4}}} -6\times2^{\frac{1}{4}}\times3^{4\times\frac{1}{4}}}[/tex]
[tex]=2\times2^{\frac{1}{4}}\times5 +4\times2^{\frac{1}{4}}\times2 -6\times2^{\frac{1}{4}}\times3\\\\=10\times2^{\frac{1}{4}}+8\times2^{\frac{1}{4}}-18\times2^{\frac{1}{4}}\\\\=(10+8-18)\times2^{\frac{1}{4}}\\\\=0\times2^{\frac{1}{4}}\\\\=0[/tex]
