# express number as infinite continued fraction

• Dec 6th 2013, 04:20 AM
director
express number as infinite continued fraction
$\displaystyle \frac{11+30^{1/2}}{13}$

I know how to express a simple rational number as a continuous fraction and I could probably figure out how to handle the square root of 30 on its own but I'm not sure about this combination. Any tips or strategies? Thanks.
• Dec 6th 2013, 07:03 AM
romsek
Re: express number as infinite continued fraction
Quote:

Originally Posted by director
$\displaystyle \frac{11+30^{1/2}}{13}$

I know how to express a simple rational number as a continuous fraction and I could probably figure out how to handle the square root of 30 on its own but I'm not sure about this combination. Any tips or strategies? Thanks.

This might help.
• Dec 8th 2013, 11:57 AM
Soroban
Re: express number as infinite continued fraction
Hello, director!

Quote:

Express as a contiued fraction: .$\displaystyle \frac{11+\sqrt{30}}{13}$

$\displaystyle \frac{11+\sqrt{30}}{13} \;=\;\{1,3,\overline{1,2,1,4}\}$
• Dec 8th 2013, 12:51 PM
Plato
Re: express number as infinite continued fraction
Quote:

Originally Posted by director
$\displaystyle \frac{11+30^{1/2}}{13}$

I know how to express a simple rational number as a continuous fraction and I could probably figure out how to handle the square root of 30 on its own but I'm not sure about this combination. Any tips or strategies? Thanks.

Have a look at this web-resource
• Dec 10th 2013, 07:56 PM
director
Re: express number as infinite continued fraction