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

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

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

simplify

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

- 5 + 26

Solution steps

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

Multiply by the conjugate

\frac{2 - 6}{2 - 6}

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

Expand

(2 - 6) (2 - 6) : 10 - 46

Expand

(2 + 6) (2 - 6) : - 2

= \frac{10 - 4 6}{- 2}

Factor out common term

2 : 2 (5 - 26)

= \frac{2 ( 5 - 2 6 )}{- 2}

Cancel the common factor:

2

= \frac{5 - 2 6}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - (5 - 26)

- (5 - 26) = - 5 + 26

= - 5 + 26

x^{4} - x^{2} - 2

2 x^{4} - 2

r^{2} + 8 r + 17 = 0

\frac{6 2}{2}

x^{2} + 2 x - 288 = 0

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