What is expand (5(3+sqrt(3)))/6 ?

The solution to expand (5(3+sqrt(3)))/6 is 5/2+5/(2sqrt(3))

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expand (5(3+sqrt(3)))/6

expand

\frac{5 ( 3 + 3 )}{6}

\frac{5}{2} + \frac{5}{2 3}

Decimal Notation

3.94337 \dots

Solution steps

\frac{5 ( 3 + 3 )}{6}

Expand

5 (3 + 3) : 15 + 53

= \frac{15 + 5 3}{6}

Apply the fraction rule:

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

\frac{15 + 5 3}{6} = \frac{15}{6} + \frac{5 3}{6}

= \frac{15}{6} + \frac{5 3}{6}

Cancel

\frac{15}{6} : \frac{5}{2}

= \frac{5}{2} + \frac{5 3}{6}

Cancel

\frac{5 3}{6} : \frac{5}{2 3}

= \frac{5}{2} + \frac{5}{2 3}

\frac{7 x ^{2} - 2 x - 6}{( 2 x - 1 ) ( x ^{2} - 2 )}

\frac{z ^{2}}{( z ^{2} - z + 1 ) ( z + 1 )}

(1 + i, 2 - 3 i) (2 - i, - 1 + 2 i)

(x - y 3)^{2}

8192 (10 ln (2) + 7)

What is expand (5(3+sqrt(3)))/6 ?
The solution to expand (5(3+sqrt(3)))/6 is 5/2+5/(2sqrt(3))