find the smallest number by which 675 must be multiplied to be obtain a perfect cube. Also find the cube root of the number so obtained
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Answer. so the smallest number by which 675 should be multiplied is 5. 675×5= 3375 is the required cube
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Prime factors of 675 = 3*3*3*5*5
Here factor 5 does not appear in 3’s group.
Therefore 675 must be multiplied by 3 to make it a perfect cube
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