Advertisements
Advertisements
प्रश्न
Find the cube root of the following number by the prime factorisation method.
64
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
APPEARS IN
संबंधित प्रश्न
Find the cube root of the following number by the prime factorisation method.
110592
Using the method of successive subtraction examine whether or not the following numbers is perfect cube 130 .
\[\sqrt[3]{480} = \sqrt[3]{3} \times 2 \times \sqrt[3]{. . .}\]
\[\sqrt[3]{\frac{512}{. . .}} = \frac{8}{13}\]
Find The cube root of the numbers 3048625, 20346417, 210644875, 57066625 using the fact that 210644875 = 42875 × 4913 .
Making use of the cube root table, find the cube root
250.
Making use of the cube root table, find the cube root
133100 .
Each prime factor appears 3 times in its cube.
Using prime factorisation, find which of the following are perfect cubes.
128
Using prime factorisation, find the cube roots of 512
