Question

1. \\(\sqrt{2}(\sqrt{20} + \sqrt{8})\\)

Explanation:

Step1: Distribute $\sqrt{2}$ to terms inside

$\sqrt{2}(\sqrt{20}) + \sqrt{2}(\sqrt{8})$

Step2: Simplify each product using $\sqrt{a}\sqrt{b}=\sqrt{ab}$

$\sqrt{40} + \sqrt{16}$

Step3: Simplify square roots fully

$\sqrt{4 \times 10} + 4 = 2\sqrt{10} + 4$

Answer:

$2\sqrt{10} + 4$