The Golden Ratio

Calculator Investigation


Input the number "five" into your calculator. Raise it to the .5 power, then mulitiply by .5.

*What do you get?*

Square your result and subtract 1.

*What do you get?*

Take the reciprical of your result and add 1.

What is your final result?

Does this number look familiar? Why do you think this occurs?


Sometimes we refer to this magic number as Phi, using the greek symbol. Above, we just looked at a specific case for determining Phi. Now, let's look at two more general methods for finding this magic number using a calculator.

To return to this page and continue on with the lesson, be sure to click the "BACK" button on your browser when completed with the two exercercises.

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