Question

Find the smallest number by which 5400must be multiplied so that the product is a perfect cube . Also find tehcube root of the number obtained

Answer 1

Answer:

5 is the smallest number and the answer is the cube root of 30

5400=2*2*2*3*3*3*5*5

5is the smallest no if we multiply it then it becomes the root of 30

Answer 2

first we take the LCM of 5400

then the LCM is 2×2×2×3×3×3×5×5

then there is a pair of 2 and 3 but not 5 then we make a pair of 5 so we want one 5 then the answer is 5

5400×5 = 27000

27000 is a cube of 30