What is (4+sqrt(5))/(2+sqrt(5)) ?

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

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simplify (4+sqrt(5))/(2+sqrt(5))

simplify

\frac{4 + 5}{2 + 5}

- 3 + 25

Solution steps

\frac{4 + 5}{2 + 5}

Multiply by the conjugate

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

= \frac{( 4 + 5 ) ( 2 - 5 )}{( 2 + 5 ) ( 2 - 5 )}

Expand

(4 + 5) (2 - 5) : 3 - 25

Expand

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

= \frac{3 - 2 5}{- 1}

\frac{3 - 2 5}{- 1} = - 3 + 25

= - 3 + 25

- 20 \div 10

+ \frac{16 m ^{4} - 81 n ^{4}}{2 m - 3 n}

(8 + 3 a) (8 - 3 a)

(x - 2 y) (x + y)

6 - \frac{1}{9}

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