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

The solution to expand (2(3+2sqrt(3)))/3 is 2+4/(sqrt(3))

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

expand

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

2 + \frac{4}{3}

Solution steps

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

Expand

2 (3 + 23) : 6 + 43

= \frac{6 + 4 3}{3}

Apply the fraction rule:

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

\frac{6 + 4 3}{3} = \frac{6}{3} + \frac{4 3}{3}

= \frac{6}{3} + \frac{4 3}{3}

Divide the numbers:

\frac{6}{3} = 2

= 2 + \frac{4 3}{3}

Cancel

\frac{4 3}{3} : \frac{4}{3}

= 2 + \frac{4}{3}

\frac{[ 5 ( x + h ) ] - [ 5 x ^{2} ]}{h}

e^{(2 n + 1) i}

\frac{x + 2}{( x + 8 ) ( x - 7 )}

\frac{1}{s ( s ^{2} + 4 s + 3 )}

(1 - e^{(- 2 v)}) u (v)

What is expand (2(3+2sqrt(3)))/3 ?
The solution to expand (2(3+2sqrt(3)))/3 is 2+4/(sqrt(3))