Question

The smallest number that must be multiplied with 5400 to make it a perfect cube​

Answer 1

Answer:

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 threes

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:

6

Step-by-step explanation:

5400 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5

here there are one pair of 2,3 and 5 of twos and one 2 and 3 are not in pair.

so, we multiplied 5400 with 6(2 x 3) to complete pairs and get perfect square.