$\displaystyle {1} divided by\frac{\sqrt2}{2}$
Is the answer $\displaystyle \frac{2}{\sqrt2}$?
Thanks
Jason
$\displaystyle \frac{1}{\frac{\sqrt{2}}{2}} = \frac{2}{\sqrt{2}}$
which can be rationalized (removing the radical from the denominator) by multiplying the numerator and denominator by $\displaystyle \sqrt{2}$:
$\displaystyle \frac{2}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \frac{2 \sqrt{2}}{2}$.
(The rationalizing of the denominator may or may not be necessary, depending on your teacher, the answer in the back of the book, etc.)