What is expand (2(3-sqrt(6)))/3 ?

The solution to expand (2(3-sqrt(6)))/3 is 2-(2sqrt(2))/(sqrt(3))

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expand (2(3-sqrt(6)))/3

expand

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

2 - \frac{2 2}{3}

Decimal Notation

0.36700 \dots

Solution steps

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

Expand

2 (3 - 6) : 6 - 26

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{6}{3} = 2

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

Cancel

\frac{2 6}{3} : \frac{2 2}{3}

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

(1 + \frac{π}{2}) (π - \frac{π}{2})

2 (22500 ln (1968300000000) - 200)

\frac{( 4 - x ^{2} ) ^{3}}{8 x ^{3}}

\frac{d ^{2}}{d x ^{2}} ((y) (- 6 x^{4} + 9))

\frac{e ^{t}}{( s - 1 ) ^{2}}

What is expand (2(3-sqrt(6)))/3 ?
The solution to expand (2(3-sqrt(6)))/3 is 2-(2sqrt(2))/(sqrt(3))