To rewrite the irrational cube root as the product of an integer and another irrational cube root, we need to find a perfect cube that is a factor of 189.
We can find that the perfect cube 27 is a factor of 189. Therefore, we can rewrite ∛189 as ∛(27 * 7).
Breaking it down further, we have ∛(27 * 7) = ∛27 * ∛7.
The cube root of 27 (∛27) is 3, which gives us 3 * ∛7.
Therefore, the irrational cube root ∛189 can be rewritten as the product of an integer (3) and another irrational cube root (∛7).
. Rewrite the irrational cube root ^3√189 as the product of an integer and another irrational cube root. Show your work.
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