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ICSE Class 8 Answered

Find the smallest number by which 3072 must be multiplied to obtain a perfect cube 
Asked by 834199593637494 | 02 Sep, 2018, 02:22: PM
answered-by-expert Expert Answer
begin mathsize 16px style First space we space will space find space the space prime space factorization space of space 3072. 3072 space equals space 2 cubed space cross times space 2 cubed space cross times space 2 cubed space cross times bold 2 bold space bold cross times bold space bold 3 bold space except space 2 space and space 3 space comma space all space are space present space in space triplets comma so space to space make comma space 2 space and space 3 space in space triplet space form space we space have space to space multiply space 2 space by space 2 squared space and space 3 space by space 3 squared. So space the space smallest space number space by space which space 3072 space must space be space multiplied space to space obtain space straight a space perfect space cube space is 2 squared space cross times space 3 squared space equals space 36 end style
Answered by Yasmeen Khan | 02 Sep, 2018, 02:54: PM

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