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

The solution to (sqrt(5))/(sqrt(5)+\sqrt{3)} is (5-sqrt(15))/2

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

simplify

\frac{5}{5 + 3}

\frac{5 - 15}{2}

Solution steps

\frac{5}{5 + 3}

Multiply by the conjugate

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

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

Expand

5 (5 - 3) : 5 - 15

Expand

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

= \frac{5 - 15}{2}

x + \frac{1}{x ^{2}}

0.5 r - (- 10 s - 2)

10 x^{2} - 21 x - 10

2 x \times 5

\frac{3 x}{2} - \frac{9 x}{4}

What is (sqrt(5))/(sqrt(5)+\sqrt{3)} ?
The solution to (sqrt(5))/(sqrt(5)+\sqrt{3)} is (5-sqrt(15))/2