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प्रश्न
Using the method of successive subtraction examine whether or not the following numbers is perfect cube 1331 .
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उत्तर
We have:
1331
1
1330
7
1323
19
1304
37
1267
61
1206
91
1115
127
988
169
819
217
602
271
331
331
0
∵ The subtraction is performed 11 times.
∴ \[\sqrt[3]{1331} = 11\]
Thus, 1331 is a perfect cube.
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संबंधित प्रश्न
Using the method of successive subtraction examine whether or not the following numbers is perfect cube 345 .
\[\sqrt[3]{480} = \sqrt[3]{3} \times 2 \times \sqrt[3]{. . .}\]
\[\sqrt[3]{. . .} = \sqrt[3]{4} \times \sqrt[3]{5} \times \sqrt[3]{6}\]
\[\sqrt[3]{\frac{729}{1331}} = \frac{9}{. . .}\]
Three numbers are to one another 2 : 3 : 4. The sum of their cubes is 0.334125. Find the numbers.
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1331
