SOLUTION: what is the smallest number by which 864 must be multiplied with to make a quotient a perfect cube? plz solve it without calculator
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Question 515081: what is the smallest number by which 864 must be multiplied with to make a quotient a perfect cube? plz solve it without calculator Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! what is the smallest number by which 864 must be multiplied with to make a quotient a perfect cube? plz solve it without calculator
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864 = 8*108 = 8*4*7 = 2^5*7
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To get a perfect cube multiply by (2)*(7^2) = 98
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Why?
You will get 2^6*7^3 = (2^2*7)^3 = (4*7)^3 , which is a perfect cube.
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Cheers,
Stan H.
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