What is expand (5(9+sqrt(21)))/6 ?

The solution to expand (5(9+sqrt(21)))/6 is 15/2+(5sqrt(7))/(2sqrt(3))

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expand (5(9+sqrt(21)))/6

expand

\frac{5 ( 9 + 21 )}{6}

\frac{15}{2} + \frac{5 7}{2 3}

Decimal Notation

11.31881 \dots

Solution steps

\frac{5 ( 9 + 21 )}{6}

Expand

5 (9 + 21) : 45 + 521

= \frac{45 + 5 21}{6}

Apply the fraction rule:

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

\frac{45 + 5 21}{6} = \frac{45}{6} + \frac{5 21}{6}

= \frac{45}{6} + \frac{5 21}{6}

Cancel

\frac{45}{6} : \frac{15}{2}

= \frac{15}{2} + \frac{5 21}{6}

Cancel

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

= \frac{15}{2} + \frac{5 7}{2 3}

\frac{x}{( x ^{2} + 5 x + 6 ) ^{2}}

(2 x + 7) e^{2 x} d x

\frac{10 ( X - 1 )}{X ^{2}}

\frac{6 s + 9}{( 2 ( s + 1 ) ( s - 1 ) ( s + 2 ) )}

\frac{- \frac{16}{5}}{t + 3} - \frac{\frac{11}{5}}{t - 2}

What is expand (5(9+sqrt(21)))/6 ?
The solution to expand (5(9+sqrt(21)))/6 is 15/2+(5sqrt(7))/(2sqrt(3))