Question

find the smallest number by which 289 must be multiplied to obtain a perfect cube?also find the cube root of the number so obtained​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

17 Should be multiplied

Step-by-step explanation:

289 = 17 x17 (prime factorisation)

So, to obtain a perfect cube, the number should have prime numbers all in a group of 3.

Therefore, to obtain 17 three times, we need to multiply it by 17