Advertisements
Advertisements
प्रश्न
Find the cube root of the following number by the prime factorisation method.
110592
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.
10648
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 130 .
Evaluate:
Making use of the cube root table, find the cube roots 7
Find the cube root of 13824 by prime factorisation method.
Find `root(3)(0.125)`.
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.
