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What is half of the smallest number by which 1296 must be multiplied, so that the product become a perfect cube.
1. 6
2. 18
3. 3
4. 1.5

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Correct Answer - Option 2 : 18

Calculation:

1296 = 6 × 6 × 6 × 6 

⇒ 1296 should be multiplied by 36 to make a perfect cube number.

According to the question:

⇒ 36/2 = 18

∴ The half of the smallest number by which 1296 must be multiplied, So that the product becomes a perfect cube is 18.

1296 × 36 = 46656

46656 is a perfect cube of 36.

The correct option is 2 i.e. 18

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