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

The solution to (2-sqrt(5))/(2+sqrt(5)) is -9+4sqrt(5)

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

simplify

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

- 9 + 45

Solution steps

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

Multiply by the conjugate

\frac{2 - 5}{2 - 5}

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

Expand

(2 - 5) (2 - 5) : 9 - 45

Expand

(2 + 5) (2 - 5) : - 1

= \frac{9 - 4 5}{- 1}

\frac{9 - 4 5}{- 1} = - 9 + 45

= - 9 + 45

(\frac{2}{7})^{5}

(4 y + 1)^{3}

12 8^{\frac{4}{7}}

8 + (- 14)

What is (2-sqrt(5))/(2+sqrt(5)) ?
The solution to (2-sqrt(5))/(2+sqrt(5)) is -9+4sqrt(5)