Question

find the cube of the following without factorization​

Answer 1

Answer:

cube root of 12167 is 23.

the cube root of 8000 = 20

cube root of 4096 is 16.

Step-by-step explanation:

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Answer 2

i)Hence, cube root of 4913 is 17. Hence cube root of 12167 is 23. Hence cube root of 32768 is 32.

ii)Since 8000 can be expressed as 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5. Therefore, the cube root of 8000 = ∛(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5) = 20.

iii)Smallest prime number is 2, so try to divide it by 2 initially then look for other higher prime numbers if required. So, the number given in the question is 4096. So, we can verify the cube root of 4096 by multiplying 16 to three times. Hence, the cube root of 4096 is 16.

Step-by-step explanation:

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