Question

Simplify each cube root expression. Describe the simplified form of the expression as rational or irrational. In your final answer, include all your work 1. ∛81

2. ∛¬64

Answer 1

-4the odd root is a negative radicand is always negative

Answer 2

1. ∛81 = ∛27 X ∛3 = 3∛3 (3³ = 27) (irrational)

2. ∛¬64 = -4 (-4³ = -64) (rational)