What is the irrational cube root ^3√81 rewritten as a product of an integer and another irrational cube root?
The irrational cube root ^3√81 can be represented as a product of an integer and another irrational cube root in the following way:
^3√81 = ^3√(27 * 3)
= ^3√(3^3 * 3)
= ^3√(3^4)
Rewriting 3^4 as (3^3 * 3), we get:
= ^3√(3^3 * 3)
This can be further simplified as:
= 3 * ^3√3