What is 2/(sqrt(2)+1)-2sqrt(2) ?

The solution to 2/(sqrt(2)+1)-2sqrt(2) is -2

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simplify 2/(sqrt(2)+1)-2sqrt(2)

simplify

\frac{2}{2 + 1} - 22

- 2

Solution steps

\frac{2}{2 + 1} - 22

Cancel

\frac{2}{2 + 1} : 22 - 2

= 22 - 2 - 22

Add similar elements:

22 - 22 = 0

= - 2

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