Question

find the cube root of 4096.​

Answer 1

Answer:

The value of the cube root of 4096 is 16.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

We have to find the cube root of 4096 by the prime factorisation method

2|2048−−−−−

2|1024−−−−−

2|512−−−−

2|256−−−−

2|128−−−−

2|64−−−

2|32−−−

2|16−−

Cube root is nothing but the number when multiplied three times will give the given number.

3√4096 = (2 X 2 X 2) X (2 X X 2) X (2 X 2 X 2) X (2 X 2 X 2)

3√4096= 3√(2 X 2 X 2 X 2)3

3√4096 = (16)

Answer:

Therefore the cube root of 4096 = 16.

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