Question

simplify. \\(sqrt{20} + sqrt{80}\\) a \\(2 + 4sqrt{5}\\) b \\(6 + sqrt{5}\\) c \\(6sqrt{5}\\) d \\(8sqrt{5}\\)

Explanation:

Step1: Simplify $\sqrt{20}$

$\sqrt{20} = \sqrt{4 \times 5} = \sqrt{4} \times \sqrt{5} = 2\sqrt{5}$

Step2: Simplify $\sqrt{80}$

$\sqrt{80} = \sqrt{16 \times 5} = \sqrt{16} \times \sqrt{5} = 4\sqrt{5}$

Step3: Add the simplified terms

$2\sqrt{5} + 4\sqrt{5} = (2+4)\sqrt{5} = 6\sqrt{5}$

Answer:

C. $6\sqrt{5}$