Advertisements
Advertisements
Question
Find the cube root of the following number by the prime factorisation method.
46656
Solution
| 2 | 46656 |
| 2 | 23328 |
| 2 | 11664 |
| 2 | 5832 |
| 2 | 2916 |
| 2 | 1458 |
| 3 | 729 |
| 3 | 243 |
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
Prime factorisation of 46656 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3
= 23 × 23 × 33 × 33
= (2 × 2 × 3 × 3)3
∴ `root3 (46656)`
= 2 × 2 × 3 × 3
= 36
APPEARS IN
RELATED QUESTIONS
Find the cube root of the following number by the prime factorisation method.
10648
\[\sqrt[3]{1728} = 4 \times . . .\]
Three numbers are to one another 2 : 3 : 4. The sum of their cubes is 0.334125. Find the numbers.
Evaluate:
\[\sqrt[3]{96} \times \sqrt[3]{144}\]
Making use of the cube root table, find the cube roots 7
Making use of the cube root table, find the cube root
8.65 .
Find the cube root of 8000.
Find the cube root of -1331.
The cube root of 540 × 50 is ___________
Using prime factorisation, find the cube roots of 512
