Question

combine and simplify these radicals. \\(\sqrt{8}\cdot\sqrt{20}\\) 40 160 \\(4\sqrt{10}\\) \\(10\sqrt{4}\\)

Explanation:

Step1: Combine radicals using product rule

$\sqrt{8} \cdot \sqrt{20} = \sqrt{8 \times 20}$

Step2: Calculate product inside radical

$\sqrt{160}$

Step3: Factor out perfect square

$\sqrt{16 \times 10} = \sqrt{16} \cdot \sqrt{10}$

Step4: Simplify perfect square radical

$4\sqrt{10}$

Answer:

$4\sqrt{10}$