What is the smallest number by which 3000 be multiplied to make it a perfect cube?
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The smallest number to be multiplied to make 3000 to a perfect cube = 9
Step-by-step explanation:
To find,
The smallest number by which 3000 be multiplied to make it a perfect cube
Solution
First, let us find the prime factorization of 3000
3000 = 2³ × 3 × 5³
3000 = (2 × 5)³× 3
= 10³× 3
The smallest number to be multiplied to make 10³× 3, a perfect cube = 3² = 9
∴ The smallest number to be multiplied to make 3000 to a perfect cube = 9
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