What is expand (5(2+sqrt(2)))/2 ?

The solution to expand (5(2+sqrt(2)))/2 is 5+5/(sqrt(2))

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expand (5(2+sqrt(2)))/2

expand

\frac{5 ( 2 + 2 )}{2}

5 + \frac{5}{2}

Solution steps

\frac{5 ( 2 + 2 )}{2}

Expand

5 (2 + 2) : 10 + 52

= \frac{10 + 5 2}{2}

Apply the fraction rule:

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

\frac{10 + 5 2}{2} = \frac{10}{2} + \frac{5 2}{2}

= \frac{10}{2} + \frac{5 2}{2}

Divide the numbers:

\frac{10}{2} = 5

= 5 + \frac{5 2}{2}

Cancel

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

= 5 + \frac{5}{2}

\frac{d}{d t} ((x) (π - t))

\frac{( - 2 x + 7 ) ( x + 1 )}{x - 3}

3 ((x - 3) (x + 2) (x - 4))

\frac{( - 6 + n ) ( 6 + n )}{4}

t esc a l o n (t - 1)

What is expand (5(2+sqrt(2)))/2 ?
The solution to expand (5(2+sqrt(2)))/2 is 5+5/(sqrt(2))