Thea has a key on her calculator marked blue star. If an integer is displayed, pressing the  blue star key chops off the first digit and moves it to the end. For example, if  6138 is on the screen, then pressing the  blue star key changes the display to 1386.


Thea enters a positive integer into her calculator, then squares it, then presses the  blue star key, then squares the result, then presses the  blue star key again. After all these steps, the calculator displays 243. What number did Thea originally enter?

sageatron2000  May 22, 2018

243 becomes 324

Take sqrt(324) = 18, then becomes:


Take the sqrt(81) = 9 - the original number that Thea started with.



9^2 = 81 this becomes:

18^2 =324 and this becomes:


Guest May 22, 2018

 what is the answer then if it is 18 then you are incorrect

sageatron2000  May 22, 2018
edited by sageatron2000  May 22, 2018

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