What is (sqrt(6))/(sqrt(2)+\sqrt{3)} ?

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

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simplify (sqrt(6))/(sqrt(2)+\sqrt{3)}

simplify

\frac{6}{2 + 3}

- 23 + 32

Decimal Notation

0.77853 \dots

Solution steps

\frac{6}{2 + 3}

Multiply by the conjugate

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

= \frac{6 ( 2 - 3 )}{( 2 + 3 ) ( 2 - 3 )}

Expand

6 (2 - 3) : 23 - 2 \cdot 3

Expand

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

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

\frac{2 3 - 2 \cdot 3}{- 1} = - 23 + 32

= - 23 + 32

28 \cdot 6

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

(4 h^{3} + 6 h^{2} + 1) - (5 h^{2} - 8 h^{4} + 6)

(x + 5)^{2}

\frac{5 ^{8}}{5 ^{10}}

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