Is 675 a perfect cube? If not, find the smallest number by which 675 must be multiplied so that product
is a perfect cube.
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675 = 5 × 5 × 3× 3 × 3 = 5² × 3³
It is not a perfect cube
We must multipy it by 5 to make it a perfect cube
675 × 5 = 5² × 3³ × 5
3375 = 5³ × 3³ = (5 × 3)³ = (15)³
Hope this helps!
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