What is expand (25(2-sqrt(2)))/2 ?

The solution to expand (25(2-sqrt(2)))/2 is 25-(25)/(sqrt(2))

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expand (25(2-sqrt(2)))/2

expand

\frac{25 ( 2 - 2 )}{2}

25 - \frac{25}{2}

Decimal Notation

7.32233 \dots

Solution steps

\frac{25 ( 2 - 2 )}{2}

Expand

25 (2 - 2) : 50 - 252

= \frac{50 - 25 2}{2}

Apply the fraction rule:

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

\frac{50 - 25 2}{2} = \frac{50}{2} - \frac{25 2}{2}

= \frac{50}{2} - \frac{25 2}{2}

Divide the numbers:

\frac{50}{2} = 25

= 25 - \frac{25 2}{2}

Cancel

\frac{25 2}{2} : \frac{25}{2}

= 25 - \frac{25}{2}

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\frac{( 1 - x ) ^{2}}{2 x}

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What is expand (25(2-sqrt(2)))/2 ?
The solution to expand (25(2-sqrt(2)))/2 is 25-(25)/(sqrt(2))