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

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

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Popular >

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

simplify

\frac{2}{2 + 3}

- 22 + 23

Decimal Notation

0.63567 \dots

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) : 22 - 23

Expand

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

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

\frac{2 2 - 2 3}{- 1} = - 22 + 23

= - 22 + 23

\frac{9}{13}

36 \cdot 3

36 \cdot 8

1^{16}

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