Thread: express number as infinite continued fraction

1. express number as infinite continued fraction

$\frac{11+30^{1/2}}{13}$

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.

2. Re: express number as infinite continued fraction

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

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.

3. Re: express number as infinite continued fraction

Hello, director!

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

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

4. Re: express number as infinite continued fraction

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

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