What is expand (10(3-sqrt(6)))/3 ?

The solution to expand (10(3-sqrt(6)))/3 is 10-(10sqrt(2))/(sqrt(3))

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expand (10(3-sqrt(6)))/3

expand

\frac{10 ( 3 - 6 )}{3}

10 - \frac{10 2}{3}

Decimal Notation

1.83503 \dots

Solution steps

\frac{10 ( 3 - 6 )}{3}

Expand

10 (3 - 6) : 30 - 106

= \frac{30 - 10 6}{3}

Apply the fraction rule:

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

\frac{30 - 10 6}{3} = \frac{30}{3} - \frac{10 6}{3}

= \frac{30}{3} - \frac{10 6}{3}

Divide the numbers:

\frac{30}{3} = 10

= 10 - \frac{10 6}{3}

Cancel

\frac{10 6}{3} : \frac{10 2}{3}

= 10 - \frac{10 2}{3}

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- 2^{2}

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What is expand (10(3-sqrt(6)))/3 ?
The solution to expand (10(3-sqrt(6)))/3 is 10-(10sqrt(2))/(sqrt(3))