Question

estimate the cube root of 46656​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

On prime factorising, we get,

46656=2×2×2×2×2×2×3×3×3×3×3×3

=2

3

×2

3

×3

3

×3

3

.

Then, cube root of 46656 is:

3

46656

=

3

2

3

×2

3

×3

3

×3

3

=2×2×3×3=36.

Therefore, 36 is the required solution.