Advertisements
Advertisements
प्रश्न
Find the cube root of the following number by the prime factorisation method.
13824
Advertisements
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.
46656
You are told that 1331 is a perfect cube. Can you guess without factorization what is its cube root? Similarly, guess the cube roots of 4913, 12167, 32768
\[\sqrt[3]{1728} = 4 \times . . .\]
Evaluate:
\[\sqrt[3]{96} \times \sqrt[3]{144}\]
Find The cube root of the numbers 3048625, 20346417, 210644875, 57066625 using the fact that 20346417 = 9261 × 2197 .
Making use of the cube root table, find the cube root
37800 .
Making use of the cube root table, find the cube root
0.86 .
Making use of the cube root table, find the cube root
34.2 .
Find the cube root of 216.
Using prime factorisation, find the cube roots of 512
