Question

find the smallest number by which 5184 should be multiplied so that the product is a perfect cube also find the number whose cube is the product so obtained.​

Answer 1

Step-by-step explanation:

2 5184

2 2592

2 1296

2 648

7 343

7 49

7

5184=2×2×2×2×7×7×7

since 2 does not have pair multiply 2 on both sides

5184×2=2^3×7^3^×2

10368=16×343

10368=5488