# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\frac{2}{4-2\sqrt{2}}$

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$\frac{2}{4-2\cdot 1.4142}$

Learn how to solve rationalisation problems step by step online. Rationalize the denominator 2/(4-22^0.5). The square root of 2 is \sqrt{2}. Multiply -2 times \sqrt{2}. Subtract the values 4 and -2\sqrt{2}. Divide 2 by 1.1716.

$1.7071$

### Problem Analysis

$\frac{2}{4-2\sqrt{2}}$

Rationalisation

~ 0.12 seconds