What is expand (10(12-sqrt(15)))/3 ?

The solution to expand (10(12-sqrt(15)))/3 is 40-(10sqrt(5))/(sqrt(3))

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expand (10(12-sqrt(15)))/3

expand

\frac{10 ( 12 - 15 )}{3}

40 - \frac{10 5}{3}

Decimal Notation

27.09005 \dots

Solution steps

\frac{10 ( 12 - 15 )}{3}

Expand

10 (12 - 15) : 120 - 1015

= \frac{120 - 10 15}{3}

Apply the fraction rule:

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

\frac{120 - 10 15}{3} = \frac{120}{3} - \frac{10 15}{3}

= \frac{120}{3} - \frac{10 15}{3}

Divide the numbers:

\frac{120}{3} = 40

= 40 - \frac{10 15}{3}

Cancel

\frac{10 15}{3} : \frac{10 5}{3}

= 40 - \frac{10 5}{3}

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What is expand (10(12-sqrt(15)))/3 ?
The solution to expand (10(12-sqrt(15)))/3 is 40-(10sqrt(5))/(sqrt(3))