1. Rewrite ∛40 as a product of an integer and another irrational cube root

∛40 can be rewritten as ∛(5*8). Since 8 is a cube, we can rewrite it as ∛(5*2^3).

Now, we can take out the cube root of 2^3 separately:

∛(5*2^3) = ∛5 * ∛(2^3)

Therefore, ∛40 can be written as ∛5 * 2.