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

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

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

simplify

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

- 5 + 26

Decimal Notation

- 0.10102 \dots

Solution steps

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

Multiply by the conjugate

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

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

Expand

(2 - 3) (2 - 3) : 5 - 26

Expand

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

= \frac{5 - 2 6}{- 1}

\frac{5 - 2 6}{- 1} = - 5 + 26

= - 5 + 26

3 x + 2 x + 7 = 10 x - 16

x^{2} = - 11 x

\frac{x - 5}{x - 4} \leq 0

2 c - 5 = 9

\frac{1}{6.28 \cdot 1.6 \cdot 1 0 ^{3} \cdot 1 0 ^{- 8}}

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