What is (sqrt(6)+sqrt(11))/(sqrt(5)+\sqrt{3)} ?

The solution to (sqrt(6)+sqrt(11))/(sqrt(5)+\sqrt{3)} is (sqrt(30)-3sqrt(2)+sqrt(55)-sqrt(33))/2

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simplify (sqrt(6)+sqrt(11))/(sqrt(5)+\sqrt{3)}

simplify

\frac{6 + 11}{5 + 3}

\frac{30 - 3 2 + 55 - 33}{2}

Solution steps

\frac{6 + 11}{5 + 3}

Multiply by the conjugate

\frac{5 - 3}{5 - 3}

= \frac{( 6 + 11 ) ( 5 - 3 )}{( 5 + 3 ) ( 5 - 3 )}

Expand

(6 + 11) (5 - 3) : 30 - 32 + 55 - 33

Expand

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

= \frac{30 - 3 2 + 55 - 33}{2}

4 x + \frac{2}{5} + 2 \geq 3

13 x^{2} - 9 x = 0

(\frac{6}{5})^{- 2}

2 (\frac{1}{3})

\frac{n + 1}{n + 2} \leq \frac{3 n + 2}{2 n + 6}

What is (sqrt(6)+sqrt(11))/(sqrt(5)+\sqrt{3)} ?
The solution to (sqrt(6)+sqrt(11))/(sqrt(5)+\sqrt{3)} is (sqrt(30)-3sqrt(2)+sqrt(55)-sqrt(33))/2