what is the simplified form of the following expression?\n5\\sqrt{8}-\\sqrt{18}-2\\sqrt{2}\no 2\\sqrt{2}\no…
what is the simplified form of the following expression?\n5\\sqrt{8}-\\sqrt{18}-2\\sqrt{2}\no 2\\sqrt{2}\no 5\\sqrt{2}\no 9\\sqrt{2}\no 15\\sqrt{2}
Answer
Answer:
B. $5\sqrt{2}$
Explanation:
Step1: Simplify $\sqrt{8}$
$\sqrt{8}=\sqrt{4\times2}=2\sqrt{2}$
Step2: Simplify $\sqrt{18}$
$\sqrt{18}=\sqrt{9\times2}=3\sqrt{2}$
Step3: Substitute and simplify
$5\sqrt{8}-\sqrt{18}-2\sqrt{2}=5\times2\sqrt{2}-3\sqrt{2}-2\sqrt{2}=10\sqrt{2}-3\sqrt{2}-2\sqrt{2}=(10 - 3-2)\sqrt{2}=5\sqrt{2}$