What is expand (2(33-sqrt(417)))/3 ?

The solution to expand (2(33-sqrt(417)))/3 is 22-(2sqrt(139))/(sqrt(3))

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expand (2(33-sqrt(417)))/3

expand

\frac{2 ( 33 - 417 )}{3}

22 - \frac{2 139}{3}

Decimal Notation

8.38628 \dots

Solution steps

\frac{2 ( 33 - 417 )}{3}

Expand

2 (33 - 417) : 66 - 2417

= \frac{66 - 2 417}{3}

Apply the fraction rule:

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

\frac{66 - 2 417}{3} = \frac{66}{3} - \frac{2 417}{3}

= \frac{66}{3} - \frac{2 417}{3}

Divide the numbers:

\frac{66}{3} = 22

= 22 - \frac{2 417}{3}

Cancel

\frac{2 417}{3} : \frac{2 139}{3}

= 22 - \frac{2 139}{3}

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What is expand (2(33-sqrt(417)))/3 ?
The solution to expand (2(33-sqrt(417)))/3 is 22-(2sqrt(139))/(sqrt(3))