What is 2/(4-2sqrt(2)) ?

The solution to 2/(4-2sqrt(2)) is 1/(2-sqrt(2))

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simplify 2/(4-2sqrt(2))

simplify

\frac{2}{4 - 2 2}

\frac{1}{2 - 2}

Decimal Notation

1.70710 \dots

Solution steps

\frac{2}{4 - 2 2}

Factor out common term

2 : 2 (2 - 2)

= \frac{2}{2 ( 2 - 2 )}

Cancel the common factor:

2

= \frac{1}{2 - 2}

\frac{20 ( a ^{- 4} b ^{- 2} )}{8 ( a ^{- 2} b ^{4} ) ^{- 2}}

63 a^{13} - 3 700 a^{21} + 48 343 a^{33}

2 sin (x) + 2 cos (x)

8 \frac{1}{4} - 5 \frac{2}{3}

\frac{2 ^{3} \cdot 3 ^{4} \cdot 3 \cdot 4 ^{2} \cdot 2 ^{5} \cdot 4 ^{3}}{3 ^{4} \cdot 4 ^{3} \cdot 2 ^{5}}