$\displaystyle {1} divided by\frac{\sqrt2}{2}$

Is the answer $\displaystyle \frac{2}{\sqrt2}$?

Thanks

Jason

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- Jun 19th 2008, 06:01 PMDarkhrse99Can I get help with this fraction..
$\displaystyle {1} divided by\frac{\sqrt2}{2}$

Is the answer $\displaystyle \frac{2}{\sqrt2}$?

Thanks

Jason - Jun 19th 2008, 06:11 PMMathnasium
$\displaystyle \frac{1}{\frac{\sqrt{2}}{2}} = \frac{2}{\sqrt{2}}$

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.) - Jun 19th 2008, 06:18 PMDarkhrse99
Thank you, that explaination helped a lot!