Rewrite the irrational root ^3✓189 as the product of an intiger and another irrational cube root
Show your work
To rewrite the irrational root ^3✓189 as the product of an integer and another irrational cube root, we can express it as ^(3)√(189) = ^(3)√(27 × 7).
We know that ^(3)√(27) = 3, which is an integer. And we also know that ^(3)√(7) cannot be simplified further.
Therefore, we can rewrite ^(3)√(189) as 3 × ^(3)√(7).
Hence, the irrational root ^3✓189 can be written as the product of an integer and another irrational cube root, which is 3‾∛(7).