Question

Simplify third root of two multiplied by third root of 32

Answer 1

Answer: 4

Step-by-step explanation:

∛2 * ∛32

⇒ $2^\frac{1}{3} * 32^\frac{1}{3}$

⇒ $2^\frac{1}{3} * (2^5)^\frac{1}{3}$

⇒ $2^\frac{1}{3} * 2^\frac{5}{3}$                   [since (a^m)^n = a^mn]

⇒ $2^\frac{(5 + 1)}{3}$                     [since a^m * a^n = a^(m + n)]

⇒ $2^\frac{6}{3}$

⇒ 2² = 4

Answer 2

23

$\sqrt{4}$