What is expand (2(15-sqrt(10)))/5 ?

The solution to expand (2(15-sqrt(10)))/5 is 6-(2sqrt(2))/(sqrt(5))

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expand (2(15-sqrt(10)))/5

expand

\frac{2 ( 15 - 10 )}{5}

6 - \frac{2 2}{5}

Decimal Notation

4.73508 \dots

Solution steps

\frac{2 ( 15 - 10 )}{5}

Expand

2 (15 - 10) : 30 - 210

= \frac{30 - 2 10}{5}

Apply the fraction rule:

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

\frac{30 - 2 10}{5} = \frac{30}{5} - \frac{2 10}{5}

= \frac{30}{5} - \frac{2 10}{5}

Divide the numbers:

\frac{30}{5} = 6

= 6 - \frac{2 10}{5}

Cancel

\frac{2 10}{5} : \frac{2 2}{5}

= 6 - \frac{2 2}{5}

2 (x - 1) e^{x}

(15 x^{4} - 33 x^{2} + 4) \cdot d x

\frac{- 2 a ^{2} - 4 a - 2 + b}{( a - 1 ) ( - 4 - 2 a )}

\frac{3 x ^{2} + 9 x - 5}{12}

\frac{( 3 + x ) ^{2} - 3 y ( 2 x - 3 ) - 18 y ^{2}}{2 x ^{2}}

What is expand (2(15-sqrt(10)))/5 ?
The solution to expand (2(15-sqrt(10)))/5 is 6-(2sqrt(2))/(sqrt(5))