What is 2/(5-sqrt(2)) ?

The solution to 2/(5-sqrt(2)) is (10+2sqrt(2))/(23)

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simplify 2/(5-sqrt(2))

simplify

\frac{2}{5 - 2}

\frac{10 + 2 2}{23}

Decimal Notation

0.55775 \dots

Solution steps

\frac{2}{5 - 2}

Multiply by the conjugate

\frac{5 + 2}{5 + 2}

= \frac{2 ( 5 + 2 )}{( 5 - 2 ) ( 5 + 2 )}

Expand

2 (5 + 2) : 10 + 22

Expand

(5 - 2) (5 + 2) : 23

= \frac{10 + 2 2}{23}

\frac{2500}{45 + 5 e ^{- 0.05 \cdot 6}}

z^{2} = - 3

\frac{x}{1 - x} > 0

500 = 30 (25 - t^{2})