Question

Evaluate

Answer 1

\[5\sqrt{8} \sqrt{8} \over 3\sqrt{8^5}\]
\[8-\frac{ 3 }{ 10 }\]
\[8- \frac{ 41 }{ 30 }\]
\[8- \frac{ 29 }{ 30 }\]
\[8 \frac{ 71 }{ 30 }\] <--- what i think it is

Answer 2

Remember, \(\large \sqrt{x^m} = x^{m/2}\)

Answer 3

Or, also, \(\sqrt{8^5} = \sqrt{8^4 \cdot 8} = 8^2\sqrt{8}\)

Answer 4

HINT: \(\sf 3\sqrt{8^5} = 3\sqrt{8\times 8\times 8....} = 3\sqrt{8}\times \sqrt{8}..\)

Answer 5

Therefore you will have \[\frac{5\color{red}{\sqrt{8}}\sqrt{8}}{3\cdot 8^2\color{red}{\sqrt{8}}}\]

Answer 6

thank you i think i got it!(: