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

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

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

simplify

\frac{6}{2 + 3}

- 62 + 63

Decimal Notation

1.90702 \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) : 62 - 63

Expand

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

= \frac{6 2 - 6 3}{- 1}

\frac{6 2 - 6 3}{- 1} = - 62 + 63

= - 62 + 63

- 2 + \frac{8}{3}

x^{2} + 6 (2 x + 5)

- x^{3} + 3 x^{2} - 4 x + 2

\frac{( x ^{2} - 1 )}{x + 1}

4 x + 1 - 3 x + 7 + 2 x

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