What is (2-sqrt(5))/(1+sqrt(5)) ?

The solution to (2-sqrt(5))/(1+sqrt(5)) is -(7-3sqrt(5))/4

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simplify (2-sqrt(5))/(1+sqrt(5))

simplify

\frac{2 - 5}{1 + 5}

- \frac{7 - 3 5}{4}

Decimal Notation

- 0.07294 \dots

Solution steps

\frac{2 - 5}{1 + 5}

Multiply by the conjugate

\frac{1 - 5}{1 - 5}

= \frac{( 2 - 5 ) ( 1 - 5 )}{( 1 + 5 ) ( 1 - 5 )}

Expand

(2 - 5) (1 - 5) : 7 - 35

Expand

(1 + 5) (1 - 5) : - 4

= \frac{7 - 3 5}{- 4}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{7 - 3 5}{4}

\frac{x ^{2}}{x ^{2}} \cdot \frac{z ^{2}}{y ^{- 2}}

k^{2} - 2 k - 8 = 0

\frac{3 x ^{5} y}{12 x ^{3} y ^{2}}

5 x^{2} - 35 = 0

2 (0) - 5 y = 10

What is (2-sqrt(5))/(1+sqrt(5)) ?
The solution to (2-sqrt(5))/(1+sqrt(5)) is -(7-3sqrt(5))/4