- A2
- B3
- CNo such number exists
- D1
Step-by-Step Solution
and , so works. For every greater than 1, is times as large as , so they can never match again.
Answer: D) 1
Apart from 0, for which whole number is equal to ?
Class 8Cubes and Cube RootsCubes and Roots
Key idea: Cube root by prime factorisation
**Step 1**: factorise into primes.
**Step 2**: group the prime factors into TRIPLES (three of the same).
**Step 3**: take ONE factor from each triple — their product is the cube root.
Example: ∛216. . So ∛216 = 6.
Example: ∛13824. . So ∛13824 = 24.
If any prime doesn't form a complete triple, the number isn't a perfect cube.
**Step 2**: group the prime factors into TRIPLES (three of the same).
**Step 3**: take ONE factor from each triple — their product is the cube root.
Example: ∛216. . So ∛216 = 6.
Example: ∛13824. . So ∛13824 = 24.
If any prime doesn't form a complete triple, the number isn't a perfect cube.
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