What is expand (2(6+sqrt(51)))/3 ?

The solution to expand (2(6+sqrt(51)))/3 is 4+(2sqrt(17))/(sqrt(3))

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expand (2(6+sqrt(51)))/3

expand

\frac{2 ( 6 + 51 )}{3}

4 + \frac{2 17}{3}

Solution steps

\frac{2 ( 6 + 51 )}{3}

Expand

2 (6 + 51) : 12 + 251

= \frac{12 + 2 51}{3}

Apply the fraction rule:

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

\frac{12 + 2 51}{3} = \frac{12}{3} + \frac{2 51}{3}

= \frac{12}{3} + \frac{2 51}{3}

Divide the numbers:

\frac{12}{3} = 4

= 4 + \frac{2 51}{3}

Cancel

\frac{2 51}{3} : \frac{2 17}{3}

= 4 + \frac{2 17}{3}

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What is expand (2(6+sqrt(51)))/3 ?
The solution to expand (2(6+sqrt(51)))/3 is 4+(2sqrt(17))/(sqrt(3))