Math, asked by AlizaFatima17, 9 months ago

Find the smallest number by which 192 must be divided to obtain a perfect cube.
Grade 8 Mathematics

Answers

Answered by Anonymous
8

Prime factorization of 192

When 192 = (2²)³ × 3 is divided by 3, we get (2²)³ = 4³ = 64. ∴ 3 is the answer.

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Answered by naysa81
2

Answer:

Smallest Number= 3

Step-by-step explanation:

Prime factorization of 192 = 2×2×2×2×2×2×3= 2^6×3 = (2^2)^3 ×3

192= (2^2)^3 ×3

3 is divided.

Then, we get =>(2^2)^3 = 4 ^3 = 4×4×4 = 64

Hence, 3 is the smallest no. by which 192 must be divided to obtain a perfect cube that is 64= 4^3

Hope it helps!

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