Verified answer

Step-by-step explanation:

To find the value of ∛46.656, we can use the relationship between cube roots and find the cube root of both numbers.

Given:

∛46656 = 36

Now, let's find the cube root of 46.656:

∛46.656 = ∛(46.656/1000) [Dividing by 1000 to convert to whole number format]

∛46.656 = ∛0.046656

Since 0.046656 is smaller than 1, it's evident that ∛0.046656 will be less than 1.

Now, we know that ∛46656 = 36, which means that multiplying a number by its cube root gives the original number:

36 × 36 × 36 = 46656

So, ∛0.046656 should be a fraction of 36, which is less than 1.

The cube root of 0.046656 is approximately 0.36. Therefore, ∛46.656 ≈ 0.36.

Answer:

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