Tuesday, 18 November 2014

The Digits and Square numbers


   All the nine digits are arranged here so as’ to  form four square numbers:

9,   81,   324,   576

How would you put them together so as to form a single smallest possible square number and a single largest possible square number?

Answer:  the lowest square number I can think I can think, of containing all the nine digits once and only once, is 139854276, the square of 11826, and the highest square number under the same conditions is 923187456 the square of 30384.

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