Question

what is the smallest number by which the following must be multiplied so that the product is a perfect cube 10935​

Answer 1

Answer:

The answer given below.

Step-by-step explanation:

Resolving into prime factors, we have

10935 = 3x3x3x3x3x3x3x5

Here, 3 exist in pairs while other 3x5 does not form a pair.

So we multiply by 15(3x5) to get a perfect square number.

Perfect square number = 10935x15 = 164025

Now, 164025 = 3x3x3x3x3x3x3x3x5x5

✓164025 = 3x3x3x3x5

✓164025 = 405

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