cassandraee94 cassandraee94
  • 18-01-2021
  • Mathematics
contestada

Find the smallest non-zero whole number which can be multiplied by 112 to give a cube number

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ShielaMondiego
ShielaMondiego ShielaMondiego
  • 18-01-2021

Answer:

Now 7 remains without a pair and therefore 7 should be multiplied to 112 to make it a perfect square. Similarly 28 should be multiplied to 784 to make it a perfect cube.

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ChoiSungHyun
ChoiSungHyun ChoiSungHyun
  • 18-01-2021

Step-by-step explanation:

112 = 2⁴ * 7.

Next power after 2⁴ with a cube power = 2⁶.

Next power after 7 with a cube power = 7³.

Therefore k = 2² * 7² = 196.

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