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

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

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

simplify

\frac{3}{2 - 3}

- 32 - 33

Decimal Notation

- 9.43879 \dots

Solution steps

\frac{3}{2 - 3}

Multiply by the conjugate

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

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

Expand

3 (2 + 3) : 32 + 33

Expand

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

= \frac{3 2 + 3 3}{- 1}

\frac{3 2 + 3 3}{- 1} = - 32 - 33

= - 32 - 33

(8 x - 4 y + 2) + (3 x + 2 y - 5)

30 x y - 12 x + 10 y - 4

(y + 2) (y^{2} - 2 y + 4) - (y^{3} + 3)

\frac{\frac{1}{x} - \frac{1}{a}}{x - a}

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