Answer: [tex]8\sqrt{6}[/tex]
Step-by-step explanation:
[tex]\frac{2^4\sqrt{3}}{\sqrt{2}}[/tex]
[tex]2^{\frac{7}{2}}\sqrt{3}[/tex]
[tex]2^{\frac{7}{2}}=2^{3+\frac{1}{2}}[/tex]
[tex]2^3\cdot \:2^{\frac{1}{2}}[/tex]=
[tex]2^3\sqrt{2}[/tex]
= [tex]2^3\sqrt{2}\sqrt{3}[/tex]=
[tex]2^3\sqrt{2\cdot \:3}[/tex]
=[tex]2^3\sqrt{6}[/tex]
[tex]2^3=8[/tex]
Answer- [tex]8\sqrt{6}[/tex]
