Simplify: \( \sqrt{50} + \sqrt{18}\) . Express your answer in simplest radical form.
+240 Rewrite it with simplified radicals,
\(5\sqrt{2} + 3\sqrt{2}\)
They both have a radical of 2, so we can combine them to get \(8\sqrt{2}\)
+515 Well we can simplify both of them starting with √50.
\(\sqrt{50}\)
\(=\sqrt{2\cdot \:5^2}\)
\(=\sqrt{2}\sqrt{5^2}\)
\(=5\sqrt{2}\)
\(\sqrt{18}\)
\(=\sqrt{2\cdot \:3^2}\)
\(=\sqrt{2}\sqrt{3^2}\)
\(=3\sqrt{2}\)
So adding \(3\sqrt{2}+5\sqrt{2},\) you get \(8\sqrt{2}\)
