which positive number
should
be multiplied by 500 to
so that the product will be perfect cube?
Answers
Answered by
30
Perfect cube should have all of its 'factors' occurring in groups of 3. So, let's factor 500. Wow! The only factor that doesn't occur in a group of 3 is 2.So, let's factor 500.
2 × 2 × 2 × 5 × 5
Wow! The only factor that doesn't occur in a group of 3 is 2. So, we would add one more factor of 2 to get 2 × 2 × 2 × 5 × 5 × 5 = 1000 which happens to be 10 cubed.
So, the answer to your question is 2.
Answered by
1
Answer:
the positive number which multiplied by 500 to make perfect Cube is 2.
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