What is (2+sqrt(5))/(3-sqrt(5)) ?

The solution to (2+sqrt(5))/(3-sqrt(5)) is (11+5sqrt(5))/4

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simplify (2+sqrt(5))/(3-sqrt(5))

simplify

\frac{2 + 5}{3 - 5}

\frac{11 + 5 5}{4}

Decimal Notation

5.54508 \dots

Solution steps

\frac{2 + 5}{3 - 5}

Multiply by the conjugate

\frac{3 + 5}{3 + 5}

= \frac{( 2 + 5 ) ( 3 + 5 )}{( 3 - 5 ) ( 3 + 5 )}

Expand

(2 + 5) (3 + 5) : 11 + 55

Expand

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

= \frac{11 + 5 5}{4}

9 \div \frac{7}{6}

6 (525)

(23 - 6)^{2}

128 x^{2}

\frac{9}{16} + \frac{1}{16}

What is (2+sqrt(5))/(3-sqrt(5)) ?
The solution to (2+sqrt(5))/(3-sqrt(5)) is (11+5sqrt(5))/4