Question

By which smallest number must 5400 be multiplied to make it a perfect cube?



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Answer 1

Answer:

5

Step-by-step explanation:

5

5400 = 9 x 6 x 100 = 27 x 2 x 5 x 5 x 4 = 27 x 5^2 x 2^2 = 2^3 x 3^3 x 5^2, 27 is a cube, therefore, 5 x 5400 is a cube, i.e. 27,000. Therefore, the required number is 5 to get a perfect cube.