Advertisements
Advertisements
Question
Find the cube root of the following number by the prime factorisation method.
15625
Advertisements
Solution
| 5 | 15625 |
| 5 | 3125 |
| 5 | 625 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factorization of 15625 = 5 × 5 × 5 × 5 × 5 × 5
= 53 × 53 = (5 × 5)3
∴ `root3 15625` = 5 × 5 = 25
APPEARS IN
RELATED QUESTIONS
Find the cube root of the following number by the prime factorisation method.
13824
Find the cube root of the following number by the prime factorisation method.
110592
Find the cube root of the following number by the prime factorisation method.
46656
\[\sqrt[3]{} . . . = \sqrt[3]{7} \times \sqrt[3]{8}\]
Evaluate:
\[\sqrt[3]{121} \times \sqrt[3]{297}\]
Making use of the cube root table, find the cube roots 7
Making use of the cube root table, find the cube root
0.86 .
What is the length of the side of a cube whose volume is 275 cm3. Make use of the table for the cube root.
Find the cube root of -1331.
Using prime factorisation, find which of the following are perfect cubes.
343
