What is 2/(4+sqrt(6))-2/(4-sqrt(6)) ?

The solution to 2/(4+sqrt(6))-2/(4-sqrt(6)) is -(2sqrt(6))/5

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simplify 2/(4+sqrt(6))-2/(4-sqrt(6))

simplify

\frac{2}{4 + 6} - \frac{2}{4 - 6}

- \frac{2 6}{5}

Decimal Notation

- 0.97979 \dots

Solution steps

\frac{2}{4 + 6} - \frac{2}{4 - 6}

Cancel

\frac{2}{4 + 6} : \frac{4 - 6}{5}

= \frac{4 - 6}{5} - \frac{2}{4 - 6}

Cancel

\frac{2}{4 - 6} : \frac{4 + 6}{5}

= \frac{4 - 6}{5} - \frac{4 + 6}{5}

Apply the fraction rule:

\frac{a}{c} - \frac{b}{c} = \frac{a - b}{c}

= \frac{4 - 6 - ( 4 + 6 )}{5}

Simplify

4 - 6 - (4 + 6) : - 26

= \frac{- 2 6}{5}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{2 6}{5}

5 x^{2} + 14 x - 3

\frac{p ^{- 6} q ^{7} r}{p ^{2} q ^{- 2}}

9 x^{2} - 6 x + 1 < 0

6 x^{2} - 5 x - 1 = 0

- \frac{14}{- 2}

What is 2/(4+sqrt(6))-2/(4-sqrt(6)) ?
The solution to 2/(4+sqrt(6))-2/(4-sqrt(6)) is -(2sqrt(6))/5