Question

question
rewrite \\(\sqrt3{128}\\) in simplest form.
answer attempt 2 out of 2

Explanation:

Step1: Factor 128 into cube factor

$128 = 64 \times 2 = 4^3 \times 2$

Step2: Split the cube root

$\sqrt[3]{4^3 \times 2} = \sqrt[3]{4^3} \times \sqrt[3]{2}$

Step3: Simplify the cube root

$\sqrt[3]{4^3} = 4$

Answer:

$4\sqrt[3]{2}$