Advertisements
Advertisements
प्रश्न
Find the cube root of the following number by the prime factorisation method.
110592
Advertisements
उत्तर
| 2 | 110592 |
| 2 | 55296 |
| 2 | 27648 |
| 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 110592 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3
= 23 × 23 × 23 × 23 × 33
=(2 × 2 × 2 × 2 × 3)3
∴ `root3 (110592)`
= 2 × 2 × 2 × 2 × 3
= 48
APPEARS IN
संबंधित प्रश्न
Find the cube root of the following number by the prime factorisation method.
46656
Using the method of successive subtraction examine whether or not the following numbers is perfect cube 1331 .
\[\sqrt[3]{1728} = 4 \times . . .\]
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
833 .
What is the length of the side of a cube whose volume is 275 cm3. Make use of the table for the cube root.
Using prime factorisation, find which of the following are perfect cubes.
729
Using prime factorisation, find which of the following are perfect cubes.
1331
Using prime factorisation, find the cube roots of 512
By what smallest number should 3600 be multiplied so that the quotient is a perfect cube. Also find the cube root of the quotient.
