What is expand (2(5+2sqrt(10)))/3 ?

The solution to expand (2(5+2sqrt(10)))/3 is 10/3+(4sqrt(10))/3

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expand (2(5+2sqrt(10)))/3

expand

\frac{2 ( 5 + 2 10 )}{3}

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

Decimal

7.54970 \dots

Solution steps

\frac{2 ( 5 + 2 10 )}{3}

Expand

2 (5 + 210) : 10 + 410

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

Apply the fraction rule:

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

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

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

8 3 (a + b) (a^{2} + b^{2}) (a^{4} + b^{4}) + b^{8}

(c n + d m)^{2} - 4 d n

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

\frac{- 24 x ^{3} - 96 x}{( x + 2 ) ^{4} ( x - 2 ) ^{4}}

- \frac{2 y}{ln ( x ^{2} - 4 ) ( y ^{2} - 16 ) ^{2}}

What is expand (2(5+2sqrt(10)))/3 ?
The solution to expand (2(5+2sqrt(10)))/3 is 10/3+(4sqrt(10))/3