What is expand (5(3+sqrt(21)))/6 ?

The solution to expand (5(3+sqrt(21)))/6 is 5/2+(5sqrt(7))/(2sqrt(3))

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expand (5(3+sqrt(21)))/6

expand

\frac{5 ( 3 + 21 )}{6}

\frac{5}{2} + \frac{5 7}{2 3}

Solution steps

\frac{5 ( 3 + 21 )}{6}

Expand

5 (3 + 21) : 15 + 521

= \frac{15 + 5 21}{6}

Apply the fraction rule:

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

\frac{15 + 5 21}{6} = \frac{15}{6} + \frac{5 21}{6}

= \frac{15}{6} + \frac{5 21}{6}

Cancel

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

= \frac{5}{2} + \frac{5 21}{6}

Cancel

\frac{5 21}{6} : \frac{5 7}{2 3}

= \frac{5}{2} + \frac{5 7}{2 3}

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

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

\frac{( 1 )}{( x ( x + 1 ) )}

1 - e^{10 k - 10 (a_{0} + 0.00512)}

e^{2 x} (x - 1) + (x - 1) e^{x}

What is expand (5(3+sqrt(21)))/6 ?
The solution to expand (5(3+sqrt(21)))/6 is 5/2+(5sqrt(7))/(2sqrt(3))