what is the following sum in simplest form?\n\\(\\sqrt{8}+3\\sqrt{2}+\\sqrt{32}\\)\n\\(3\\sqrt{8}+3\\sqrt{2}\…

Explanation:

Step1: Simplify square - roots

Simplify each square - root term: $\sqrt{8}=\sqrt{4\times2}=2\sqrt{2}$ $\sqrt{32}=\sqrt{16\times2}=4\sqrt{2}$

Step2: Substitute simplified terms

Substitute the simplified square - roots into the original expression: $\sqrt{8}+3\sqrt{2}+\sqrt{32}=2\sqrt{2}+3\sqrt{2}+4\sqrt{2}$

Step3: Combine like terms

Combine the terms with the same radical part $\sqrt{2}$: $(2 + 3+4)\sqrt{2}=9\sqrt{2}$

Answer:

$9\sqrt{2}$