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

- 9.89897 \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

\frac{5 x - 2}{3} - \frac{x - 8}{4} \geq \frac{x + 14}{2} - 2

2 x^{2} + 2 - 5 x

\frac{1}{2} (3 \times 1 8^{2} - 18)

x + 7 = x - 2

∣ x + 5 ∣ \leq 4

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)