What is (2sqrt(5)-3)/(sqrt(5)+1) ?

The solution to (2sqrt(5)-3)/(sqrt(5)+1) is (13-5sqrt(5))/4

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simplify (2sqrt(5)-3)/(sqrt(5)+1)

simplify

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

\frac{13 - 5 5}{4}

Decimal Notation

0.45491 \dots

Solution steps

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

Multiply by the conjugate

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

= \frac{( 2 5 - 3 ) ( 5 - 1 )}{( 5 + 1 ) ( 5 - 1 )}

Expand

(25 - 3) (5 - 1) : 13 - 55

Expand

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

= \frac{13 - 5 5}{4}

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

\frac{x ^{2} + 5 x - 36}{x ^{2} - 49} \cdot (x^{2} - 11 x + 28)

tan (θ) cos (θ) csc (θ)

(2 m + n)^{5}

\frac{\frac{17}{18} - \frac{7}{9}}{- \frac{1}{9} - \frac{5}{9}}

What is (2sqrt(5)-3)/(sqrt(5)+1) ?
The solution to (2sqrt(5)-3)/(sqrt(5)+1) is (13-5sqrt(5))/4