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Simplify: \( \sqrt{50} + \sqrt{18}\) . Express your answer in simplest radical form.

 Jul 6, 2021
 #1
avatar+234 
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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 \(8\sqrt{2}\)

 Jul 6, 2021
 #2
avatar+493 
+2

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 \(8\sqrt{2}\)

 Jul 6, 2021

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