erweitern (5pi)/4+(5pi(sqrt(2)+sqrt(2+\sqrt{2)}+sqrt(2-\sqrt{2)}))/8

Lösung

erweitern

\frac{5 π}{4} + \frac{5 π ( 2 + 2 + 2 + 2 - 2 )}{8}

\frac{5 π}{4} + \frac{5 π}{4 2} + \frac{5 π 2 + 2}{8} + \frac{5 π 2 - 2}{8}

Dezimale

11.83465 \dots

Schritte zur Lösung

\frac{5 π}{4} + \frac{5 π ( 2 + 2 + 2 + 2 - 2 )}{8}

Multipliziere aus

5 π (2 + 2 + 2 + 2 - 2) : 52 π + 5 π 2 + 2 + 5 π 2 - 2

= \frac{5 π}{4} + \frac{5 2 π + 5 π 2 + 2 + 5 π 2 - 2}{8}

Wende Bruchregel an:

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

\frac{5 2 π + 5 π 2 + 2 + 5 π 2 - 2}{8} = \frac{5 2 π}{8} + \frac{5 π 2 + 2}{8} + \frac{5 π 2 - 2}{8}

= \frac{5 π}{4} + \frac{5 2 π}{8} + \frac{5 π 2 + 2}{8} + \frac{5 π 2 - 2}{8}

\frac{5 2 π}{8} = \frac{5 π}{4 2}

= \frac{5 π}{4} + \frac{5 π}{4 2} + \frac{5 π 2 + 2}{8} + \frac{5 π 2 - 2}{8}

s im pl i f y (x^{2} + 6 x + 9) (x - \frac{7}{2}) (x^{2} - 6 x + 4)

e x p an d \frac{4 ( x - 2 ) ( 2 n + 1 )}{2 n + 3}

e x p an d C (0, 0) Q (2, - 3)

s im pl i f y (23 x + 52)^{2}

e x p an d \frac{1}{6} \cdot 125 x^{3} - 45 x^{2} + 0.4 x + 0.384