What is expand (2(2+sqrt(10)))/3 ?

The solution to expand (2(2+sqrt(10)))/3 is 4/3+(2sqrt(10))/3

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expand (2(2+sqrt(10)))/3

expand

\frac{2 ( 2 + 10 )}{3}

\frac{4}{3} + \frac{2 10}{3}

Decimal Notation

3.44151 \dots

Solution steps

\frac{2 ( 2 + 10 )}{3}

Expand

2 (2 + 10) : 4 + 210

= \frac{4 + 2 10}{3}

Apply the fraction rule:

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

\frac{4 + 2 10}{3} = \frac{4}{3} + \frac{2 10}{3}

= \frac{4}{3} + \frac{2 10}{3}

(\frac{x}{2} - \frac{3}{4}) (\frac{x}{2} + \frac{3}{4})

\frac{( 2 x - 1 ) ( x + 3 )}{x + 1}

\frac{1}{( x ^{2} + 5 ) ^{6}}

\frac{( n + 1 ) ^{2} \cdot ( n + 2 ) ^{2}}{4}

\frac{2 s}{( s ^{2} + 4 s + 5 ) ^{2}}

What is expand (2(2+sqrt(10)))/3 ?
The solution to expand (2(2+sqrt(10)))/3 is 4/3+(2sqrt(10))/3