Question

find the cube root of the following by factoriation method c) 4096
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Answer 1

Step-by-step explanation:

The number 4096 on prime factorization gives 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2. On combining the prime factors in groups of 3 gives 16. So, the cube root of 4096 = ∛(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2) = 16 (perfect cube).

Answer 2

Answer:

The value of the cube root of 4096 is 16. It is the real solution of the equation x3 = 4096. The cube root of 4096 is expressed as ∛4096 in radical form and as (4096)⅓ or (4096)0.33 in the exponent form. As the cube root of 4096 is a whole number, 4096 is a perfect cube.