What is expand (5(sqrt(2)-sqrt(6)))/4 ?

The solution to expand (5(sqrt(2)-sqrt(6)))/4 is 5/(2sqrt(2))-(5sqrt(3))/(2sqrt(2))

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expand (5(sqrt(2)-sqrt(6)))/4

expand

\frac{5 ( 2 - 6 )}{4}

\frac{5}{2 2} - \frac{5 3}{2 2}

Decimal Notation

- 1.29409 \dots

Solution steps

\frac{5 ( 2 - 6 )}{4}

Expand

5 (2 - 6) : 52 - 56

= \frac{5 2 - 5 6}{4}

Apply the fraction rule:

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

\frac{5 2 - 5 6}{4} = \frac{5 2}{4} - \frac{5 6}{4}

= \frac{5 2}{4} - \frac{5 6}{4}

Cancel

\frac{5 2}{4} : \frac{5}{2 2}

= \frac{5}{2 2} - \frac{5 6}{4}

Cancel

\frac{5 6}{4} : \frac{5 3}{2 2}

= \frac{5}{2 2} - \frac{5 3}{2 2}

f^{'} (x) 5 x^{3} (x^{2} - 9)

\frac{1}{2} (sin (x) + \frac{1}{5} sin (5 x))

(\frac{1}{0.5 x + 2} + 2) \cdot 0.5

(- b + d) (- b - d)

\frac{1}{2} (8 + lo g_{2} (3))

What is expand (5(sqrt(2)-sqrt(6)))/4 ?
The solution to expand (5(sqrt(2)-sqrt(6)))/4 is 5/(2sqrt(2))-(5sqrt(3))/(2sqrt(2))