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

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

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

simplify

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

\frac{7 + 5}{4}

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) : 7 + 5

Expand

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

= \frac{7 + 5}{4}

\frac{4 x}{2 x + 3} + \frac{7}{2 x + 3}

20 u^{2} - 55 u

33 + 3 i

8 x - 12

(m - 2 n)^{2}

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