Number of Perfect Squares

Compute the number of squares between 49 and 94

My short solution: The technique is to express these two numbers into perfect squares so that it’s easy to compute the number of squares between these two numbers.

49 = (22)9 = (29)2 = 5122 ;

94 = (32)4 = (34)2 = 812

Therefore, the number of squares between 49 and 94 is (512-81)-1 = 430

Posted by rosapaulina on December 26, 2008 at 11:41 pm
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