Math, asked by madhavipandugu, 1 year ago

find the smallest number by which 6912 must be divided to obtain a perfect cube

Answers

Answered by souvik63
1
3 is the smallest number by which 6912 must be divided

tushi88: hii
Answered by TheLostMonk
3
6912= 2×2×2×2×2×2×2×2×3×3 ×3




=(2×2)(2×2)(2×2)(2×2)(3×3)×3






=(2×2)^4 × (3×3)^1 × 3




now, required number will be 4,

6912 / 4 = 1728

1728 = ( 12 )^3

1728 is a perfect cube of 12 .

therefore ,

the smallest required number is 4.

TheLostMonk: now check
TheLostMonk: you were asking me , recently i saw your question
madhavipandugu: but u gave wrong answer
madhavipandugu: you gave me answer of square
TheLostMonk: i corrected it , check it again
TheLostMonk: answer is 4
TheLostMonk: for cube
TheLostMonk: check solution again , i explained it for cube . hope it helps now
madhavipandugu: thank you
TheLostMonk: welcome
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