Advertisements
Advertisements
प्रश्न
Find the cube root of the following number by the prime factorisation method.
13824
उत्तर
| 2 | 13824 |
| 2 | 6912 |
| 2 | 3456 |
| 2 | 1728 |
| 2 | 864 |
| 2 | 432 |
| 2 | 216 |
| 2 | 108 |
| 2 | 54 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factorisation of 13824 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 ×2 × 3 × 3 × 3
= 23 × 23 × 23 × 33
= (2 × 2 × 2 × 3)3
∴ `root3 (13824)`
= 2 × 2 × 2 × 3
= 24
APPEARS IN
संबंधित प्रश्न
Find the cube root of the following number by the prime factorisation method.
175616
Using the method of successive subtraction examine whether or not the following numbers is perfect cube 345 .
\[\sqrt[3]{125 \times 27} = 3 \times . . .\]
\[\sqrt[3]{8 \times . . .} = 8\]
\[\sqrt[3]{\frac{512}{. . .}} = \frac{8}{13}\]
Evaluate:
Making use of the cube root table, find the cube root
0.86 .
Making use of the cube root table, find the cube root
8.65 .
Find the cube root of 13824 by prime factorisation method.
Using prime factorisation, find which of the following are perfect cubes.
729
