Question

find the smallest number which should be multiplied with 960 to make it a perfect cube

Answer 1

Answer:

multiply 960 with 225 to get a perfect cube

216000 is cube of 60

Step-by-step explanation:

960 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5

$960 = {2}^{6} \times 3 \times 5 \\ we \: need \: to \: multiply \: with \: {3}^{2} \times {5}^{2} \: to \: get \: a \: perfect \: cube \\ {3}^{2} \times {5}^{2} = 9 \times 25 = 225 \\ \\ {2}^{6} \times {3}^{3} \times {5}^{3} = 216000 \\ 216000 \: is \: perfect \: cube \: of \: 60$