What is the irrational cube root 3^√81 rewritten as a product of an integer and another irrational cube root?

1 answer

We can rewrite 81 as a cube of another number, 3^4 = 81. Therefore, we can rewrite the expression as ∛(3^√81) = ∛(3^4) = (3^4)^1/3.

Using the property of exponents, we can rewrite this as (3^1/3) * (3^4/3).

Therefore, the irrational cube root 3^√81 can be rewritten as a product of an integer and another irrational cube root, which is 3^1/3.