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.

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.

Re: express number as infinite continued fraction

Hello, director!

Quote:

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

$\displaystyle \frac{11+\sqrt{30}}{13} \;=\;\{1,3,\overline{1,2,1,4}\}$

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

Re: express number as infinite continued fraction

Thanks everyone for the answers/links. I was about to work out the answer using these resources.