What is 1/(5-sqrt(5)) ?

The solution to 1/(5-sqrt(5)) is (5+sqrt(5))/(20)

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simplify 1/(5-sqrt(5))

simplify

\frac{1}{5 - 5}

\frac{5 + 5}{20}

Decimal Notation

0.36180 \dots

Solution steps

\frac{1}{5 - 5}

Multiply by the conjugate

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

= \frac{1 \cdot ( 5 + 5 )}{( 5 - 5 ) ( 5 + 5 )}

1 \cdot (5 + 5) = 5 + 5

(5 - 5) (5 + 5) = 20

= \frac{5 + 5}{20}

\frac{6 x ^{3} + 8 x ^{2} - 10 x}{2 x}

\frac{1}{9} \cdot \frac{3}{5}

s^{2}

\frac{68}{7}

(- 2) - (- 5)