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प्रश्न
Find the cube root of the following number by the prime factorisation method.
64
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उत्तर
| 2 | 64 |
| 2 | 32 |
| 2 | 16 |
| 2 | 8 |
| 2 | 4 |
| 2 | 2 |
| 1 |
Prime factorisation of 64 = 2 × 2 × 2 × 2 × 2 × 2
= 23 × 23 = (2 × 2)3
∴ `root3 64` = 2 × 2 = 4
संबंधित प्रश्न
Using the method of successive subtraction examine whether or not the following numbers is perfect cube 345 .
Using the method of successive subtraction examine whether or not the following numbers is perfect cube 1331 .
\[\sqrt[3]{125 \times 27} = 3 \times . . .\]
\[\sqrt[3]{\frac{27}{125}} = \frac{. . .}{5}\]
Evaluate:
Evaluate:
Making use of the cube root table, find the cube root
9800 .
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Each prime factor appears 3 times in its cube.
Using prime factorisation, find which of the following are perfect cubes.
128
