Question

What is the smallest number by which 5400 may be multiplied so that the product is a perfect cube and find the cube root of the product.

WITH PROCCEDURE

Answer 1

Question:-

What is the smallest number by which 5400 may be multiplied so that the product is a perfect cube and find the cube root of the product.

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by factorizing 5400, we get

2×2×2×3×3×3×5×5

logic is, to become a cube, all number should be in pair in three”s

here 2 is in pair, 3 is in pair, 5 can be in pair if multiplied by one more 5.

after multiplying 5, it becomes,

2×2×2×3×3×3×5×5×5

hence it is the cube of 2×3×5= 30

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Answer 2

Answer:

The answer is 5.

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