# Step-by-step Solution

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## Step-by-step Solution

Problem to solve:

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

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

$\frac{1}{3}\cdot \sqrt{2}-\left(\frac{2}{1-1\cdot \sqrt{2}}\right)+\frac{3}{\sqrt{2}+1}$

Learn how to solve addition of numbers problems step by step online. Simplify 1/32^0.5-2/(1-2^0.5)+3/(2^0.5+1). Divide 1 by 3. The square root of 2 is \frac{2}{\sqrt{2}}. Calculate the power \sqrt{2}. Multiplying the fraction by -1.

$6.542472$
$\frac{1}{3}\sqrt{2}-\frac{2}{1-\sqrt{2}}+\frac{3}{\sqrt{2}+1}$