Using the method of successive subtraction of numbers $1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, 397, . . . . . . . . . .$
Examine if the following number is a perfect cube or not
792

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Solution

792-1=791, 791-7=784, 784-19= 765, 765-37=728, 728-61=667, 667-91=576, 576-127=449, 449-169=280,80-217=63.
The next number to be subtracted is 331 which is greater than 63.
The remainder got is not zero.
$∴$ 792 is not a perfect cube.

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Using the method of successive subtraction of numbers 1,7,19,37,61,91,127,169,217,271,331,397,..........Examine if the following number is a perfect cube or not792

792-1=791, 791-7=784, 784-19= 765, 765-37=728, 728-61=667, 667-91=576, 576-127=449, 449-169=280,80-217=63.The next number to be subtracted is 331 which is greater than 63.The remainder got is not zero.∴ 792 is not a perfect cube.

Using the method of successive subtraction of numbers $1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, 397, . . . . . . . . . .$
Examine if the following number is a perfect cube or not
792

792-1=791, 791-7=784, 784-19= 765, 765-37=728, 728-61=667, 667-91=576, 576-127=449, 449-169=280,80-217=63.
The next number to be subtracted is 331 which is greater than 63.
The remainder got is not zero.
$∴$ 792 is not a perfect cube.