What is expand (2(3+sqrt(3)))/3 ?

The solution to expand (2(3+sqrt(3)))/3 is 2+2/(sqrt(3))

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expand (2(3+sqrt(3)))/3

expand

\frac{2 ( 3 + 3 )}{3}

2 + \frac{2}{3}

Decimal Notation

3.15470 \dots

Solution steps

\frac{2 ( 3 + 3 )}{3}

Expand

2 (3 + 3) : 6 + 23

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{6}{3} = 2

= 2 + \frac{2 3}{3}

Cancel

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

= 2 + \frac{2}{3}

- \frac{2 x ( - x ^{2} - 12 )}{( x ^{2} - 4 ) ^{3}}

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

z (x) + y (z (x), x) (x + z^{'} (x))

(x + 2) (x + 32)

\frac{1 + x ^{2}}{x ^{2} ( x - 4 ) ^{2}}

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