by what smallest number should we divide 9000 so the quotient becomes a perfect cube? find the cube root of the quotient
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Answered by
16
The divisors/factors of 9000 are:
[1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,
125,150,
180,200,225,250,300,360,375,450,500,600,750,900,1000,1125,1500,
1800,2250,3000,4500,9000]
The smallest one that will give us a quotient that is a perfect cube is 9
9000/9 = 1000
The quotient = 1000
the cube root of the quotient = ∛1000 = 10
Answered by
11
Answer:
Step-by-step explanation:
The divisors/factors of 9000 are:
[1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,
125,150,
180,200,225,250,300,360,375,450,500,600,750,900,1000,1125,1500,
1800,2250,3000,4500,9000]
The smallest one that will give us a quotient that is a perfect cube is 9
9000/9 = 1000
The quotient = 1000
the cube root of the quotient = ∛1000 = 10
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