What is (sqrt(2))/(sqrt(2)+\sqrt{3)} ?

The solution to (sqrt(2))/(sqrt(2)+\sqrt{3)} is -2+sqrt(6)

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simplify (sqrt(2))/(sqrt(2)+\sqrt{3)}

simplify

\frac{2}{2 + 3}

- 2 + 6

Solution steps

\frac{2}{2 + 3}

Multiply by the conjugate

\frac{2 - 3}{2 - 3}

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

Expand

2 (2 - 3) : 2 - 6

Expand

(2 + 3) (2 - 3) : - 1

= \frac{2 - 6}{- 1}

\frac{2 - 6}{- 1} = - 2 + 6

= - 2 + 6

5 m^{2} + m

7 192 x^{9} y^{2}

\frac{34 x - 85}{17}

18 + 827 - 73

\frac{5}{6} + \frac{2}{4} + \frac{7}{11}

What is (sqrt(2))/(sqrt(2)+\sqrt{3)} ?
The solution to (sqrt(2))/(sqrt(2)+\sqrt{3)} is -2+sqrt(6)