# Can I get help with this fraction..

• June 19th 2008, 06:01 PM
Darkhrse99
Can I get help with this fraction..
${1} divided by\frac{\sqrt2}{2}$

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

Thanks
Jason
• June 19th 2008, 06:11 PM
Mathnasium
$\frac{1}{\frac{\sqrt{2}}{2}} = \frac{2}{\sqrt{2}}$

which can be rationalized (removing the radical from the denominator) by multiplying the numerator and denominator by $\sqrt{2}$:

$\frac{2}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \frac{2 \sqrt{2}}{2}$.

(The rationalizing of the denominator may or may not be necessary, depending on your teacher, the answer in the back of the book, etc.)
• June 19th 2008, 06:18 PM
Darkhrse99
Thank you, that explaination helped a lot!