Advertisements
Advertisements
Question
Find the cube root of the following number by the prime factorisation method.
91125
Advertisements
Solution
| 3 | 91125 |
| 3 | 30375 |
| 3 | 10125 |
| 3 | 3375 |
| 3 | 1125 |
| 3 | 375 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factorisation of 91125 = 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5
= 33 × 33 × 53
= (3 × 3 × 5)3
∴ `root3 (91125)`
= 3 × 3 × 5
= 45
APPEARS IN
RELATED QUESTIONS
Find the cube root of the following number by the prime factorisation method.
512
Find the cube root of the following number by the prime factorisation method.
110592
\[\sqrt[3]{\frac{729}{1331}} = \frac{9}{. . .}\]
Evaluate:
\[\sqrt[3]{96} \times \sqrt[3]{144}\]
Making use of the cube root table, find the cube root
250.
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 .
With what least number must 8640 be divided so that the quotient is a perfect cube?
The cube root of 540 × 50 is ___________
Using prime factorisation, find the cube roots of 2197
