[tex] \sqrt{2}[/tex] [tex]^{5}[/tex] can also be written as [tex] \sqrt{2} [/tex] x [tex]\sqrt{2}[/tex] x [tex]\sqrt{2}[/tex] x [tex]\sqrt{2}[/tex] x [tex]\sqrt{2}[/tex] .
[tex]\sqrt{2}[/tex] x [tex]\sqrt{2}[/tex] = 2
2 x [tex]\sqrt{2}[/tex] = 2[tex]\sqrt{2}[/tex]
2[tex]\sqrt{2}[/tex] x [tex]\sqrt{2}[/tex] = (2)(2) = 4
4 x [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex]
The final answer is 4 [tex]\sqrt{2}[/tex], which is equal to 5.656854249.