Question

use the product rule to multiply.
\\(\sqrt4{8} \cdot \sqrt4{2}\\)
\\(\sqrt4{8} \cdot \sqrt4{2} = \square\\)
(type an exact answer, using radicals as needed. simplify your a

Explanation:

Step1: Apply product rule for radicals

$\sqrt[4]{8} \cdot \sqrt[4]{2} = \sqrt[4]{8 \cdot 2}$

Step2: Multiply the radicands

$\sqrt[4]{16}$

Step3: Simplify the 4th root

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

Answer:

$2$