Question

what is the smallest number that must be multipied with 5400to make it a perfect cube! ​

Answer 1

Answer:

To Find: Smallest number to be multiplied to make it a cube. Thus, to make a group of 3 for 5, we need to multiply 5400 by 5. Answer: The smallest number which is to be multiplied is 5.

HERE ARE THE STEPS TO DO ITS✌✌✌

Step-by-step explanation:

Arrange them in sequential order (A) →5400=23×33×52 (B) on prime factorisation of 5400 we get 5400= 2×2×2×5×5×3×3×3 (C ) ∴ 5400 must be multipled by 5 so that the porduct is a perfect cube

Answer 2

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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 of three .

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 , the smallest number that must be multipied with 5400to make it a perfect cube is 5 .