What is expand (2(5+4sqrt(2)))/7 ?

The solution to expand (2(5+4sqrt(2)))/7 is 10/7+(8sqrt(2))/7

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expand (2(5+4sqrt(2)))/7

expand

\frac{2 ( 5 + 4 2 )}{7}

\frac{10}{7} + \frac{8 2}{7}

Solution steps

\frac{2 ( 5 + 4 2 )}{7}

Expand

2 (5 + 42) : 10 + 82

= \frac{10 + 8 2}{7}

Apply the fraction rule:

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

\frac{10 + 8 2}{7} = \frac{10}{7} + \frac{8 2}{7}

= \frac{10}{7} + \frac{8 2}{7}

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What is expand (2(5+4sqrt(2)))/7 ?
The solution to expand (2(5+4sqrt(2)))/7 is 10/7+(8sqrt(2))/7