Question

Tính giá trị :

\(F=4^{3+\sqrt{2}}.2^{1-\sqrt{2}}.2^{-3-\sqrt{2}}\)

Answer 1

\(D=4^{3+\sqrt{2}}.2^{1-\sqrt{2}}.2^{-3-\sqrt{2}}=2^{6+2\sqrt{2}}.2^{-2-2\sqrt{2}}=2^4=16\)

Answer 2

\(F=4^{3+\sqrt{2}}.2^{1-\sqrt{2}}.2^{-3-\sqrt{2}}=2^{6+2\sqrt{2}}.2^{1-\sqrt{2}}.2^{-3-\sqrt{2}}\)

\(=2^{6+2\sqrt{2}+1-\sqrt{2}-3-\sqrt{2}}=2^4=16\)