Question

What is the simplest form of the number:

Answer 1

\[\sqrt{2}\left( \sqrt[8]{2} \right)\]

Answer 2

Step by Step please

Answer 3

the index is an 8 btw

Answer 4

\[\sqrt{2}\sqrt[8]{2}=\sqrt[8]{2^4*2}=\sqrt[8]{2^5}\]

Answer 5

http://awesomescreenshot.com/0132bkyjec

Answer 6

5/8

Answer 7

\[\sqrt{2}* \sqrt[8]{2}=2^{\frac{ 1 }{ 2 }}*2^{\frac{ 1 }{8 }}=2^{\left( \frac{ 1 }{ 2 }+\frac{ 1 }{ 8 } \right)}\]
\[=2^{\frac{ 4+1 }{8 }}=2^{\frac{ 5 }{ 8 }}\]
\[=\sqrt[8]{2^{5}}\]

Answer 8

Ohhh understood... thank you both.

Answer 9

yw