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# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$3\sqrt{2}+5\sqrt{2}-\frac{1}{2}\sqrt{3}+8\sqrt{2}$

Learn how to solve addition of numbers problems step by step online.

$3\cdot \sqrt{2}+5\cdot \sqrt{2}-1\cdot 0.5\cdot \sqrt{3}+8\cdot \sqrt{2}$

Learn how to solve addition of numbers problems step by step online. Simplify 32^0.5+52^0.5-1/2*3^0.5+82^0.5. Divide 1 by 2. The square root of 2 is \sqrt{2}. Calculate the power \sqrt{2}. Multiply 3 times \sqrt{2}.

$21.7614$

### Problem Analysis

$3\sqrt{2}+5\sqrt{2}-\frac{1}{2}\sqrt{3}+8\sqrt{2}$