Question

what is the smallest number by which 288 must be multiplied so the product is perfect cube

Answer 1

First if all, factorise the given number.
288 = 2×2×2×2×2×3×3

Now, let's make every number in pair of 3.
288 = 2³ × 2² × 3²

Therefore we need to multiply one 2 and one 3.
Thus, the smallest number to multiply is
2×3 = 6

Answer 2

Answer:

6

Step-by-step explanation:

1st step find the LCM.

2nd pair it .

3rd step 2×3.