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

The solution to (4+sqrt(5))/(sqrt(5)-2) is 6sqrt(5)+13

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

simplify

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

65 + 13

Solution steps

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

Multiply by the conjugate

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

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

Expand

(4 + 5) (5 + 2) : 65 + 13

Expand

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

= \frac{6 5 + 13}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 65 + 13

- 15 - (- 10)

\frac{3}{x + 6} - \frac{2}{x - 1}

8 x - 16

(3 x - 2)^{6}

\frac{7 - 12}{12 - 7}

What is (4+sqrt(5))/(sqrt(5)-2) ?
The solution to (4+sqrt(5))/(sqrt(5)-2) is 6sqrt(5)+13