Advertisements
Advertisements
प्रश्न
Find the cube root of the following numbers by the prime factorisation method.
27000
योग
Advertisements
उत्तर
| 2 | 27000 |
| 2 | 13500 |
| 2 | 6750 |
| 3 | 3375 |
| 3 | 1125 |
| 3 | 375 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factorisation of 27000 = 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5
= 23 × 33 × 53 = (2 × 3 × 5)3
∴ `root3 (27000)`
= 2 × 3 × 5 = 30
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Cubes and Cube Roots - EXERCISE 6.2 [पृष्ठ ७७]
APPEARS IN
संबंधित प्रश्न
\[\sqrt[3]{1728} = 4 \times . . .\]
\[\sqrt[3]{\frac{729}{1331}} = \frac{9}{. . .}\]
Find the side of a cube whose volume is\[\frac{24389}{216} m^3 .\]
Making use of the cube root table, find the cube root
5112 .
Making use of the cube root table, find the cube root
732 .
Making use of the cube root table, find the cube root
8.6 .
Find the cube root of 13824 by prime factorisation method.
Find the cube root of 216.
Each prime factor appears 3 times in its cube.
Using prime factorisation, find which of the following are perfect cubes.
1331
