What is the irrational cube root 3√40 Rewritten as a product an integer and another irrational cube root
The cube root of 40 (∛40) can be expressed as a product of an integer and another irrational cube root by factoring out the largest perfect cube possible from 40.
The largest perfect cube that is a factor of 40 is 8, which is equal to 2^3.
So, we can rewrite ∛40 as ∛(8 × 5).
Taking the cube root of 8 (∛8), we get 2.
Therefore, √40 can be rewritten as 2∛5, where 2 is the integer and ∛5 is the remaining irrational cube root.