Question

How do i simplify (8/7)/(2sqrt2) can someone show me the steps?

Answer 1

\[\frac {\frac{8}{7}}{2\sqrt{2}}\rightarrow \frac{8}{7}* \frac{1}{2\sqrt{2}}\rightarrow \frac{8}{14\sqrt{2}}\]
Now rationalize the denominator:
\[\frac{8}{2\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{2}}\rightarrow \frac{8 \sqrt{2}}{28}\rightarrow \frac {2\sqrt{2}}{7}\]

Answer 2

sorry made a typo:
\[\frac{8}{14\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{2}}\]

Answer 3

so the final answer is 2sqrt2/7?

Answer 4

yes

Answer 5

Thanks!

Answer 6

sure thing