## anonymous 5 years ago How do i simplify (8/7)/(2sqrt2) can someone show me the steps?

1. anonymous

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

2. anonymous

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

3. anonymous

so the final answer is 2sqrt2/7?

4. anonymous

yes

5. anonymous

Thanks!

6. anonymous

sure thing