Difference between revisions of "Perfect cube"
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A '''perfect cube''' is an [[integer]] that is equal to some other integer raised to the third power. We refer to raising a [[number]] to the third power as ''cubing'' the number. | A '''perfect cube''' is an [[integer]] that is equal to some other integer raised to the third power. We refer to raising a [[number]] to the third power as ''cubing'' the number. | ||
| − | For example, 125 is a perfect cube because <math>5^3 = 125</math>. However, 121 is not a cube because there is no integer <math>n</math> such that <math>n^3 = 121</math>. | + | For example, 125 is a perfect cube because <math>5^3 = 125</math>. However, 121 is not a perfect cube because there is no integer <math>n</math> such that <math>n^3 = 121</math>. |
== Example Problems == | == Example Problems == | ||
Revision as of 13:39, 1 February 2010
A perfect cube is an integer that is equal to some other integer raised to the third power. We refer to raising a number to the third power as cubing the number.
For example, 125 is a perfect cube because 
. However, 121 is not a perfect cube because there is no integer 
such that 
.
Example Problems
Introductory Problems
