展开 440sqrt(2+\sqrt{2)}(2-sqrt(2))

解答

展开

440 2 + 2 (2 - 2)

880 2 + 2 - 440 4 + 22

十进制

476.25256 \dots

求解步骤

440 2 + 2 (2 - 2)

使用分配律:

a (b - c) = ab - a c

440 2 + 2 (2 - 2) = 440 2 + 2 \cdot 2 - 440 2 + 2 2

= 440 2 + 2 \cdot 2 - 440 2 + 2 2

440 2 + 2 \cdot 2 - 440 2 + 2 2 = 880 2 + 2 - 440 4 + 22

= 880 2 + 2 - 440 4 + 22

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e x p an d - sin (x) (sin (x) + 1) - cos^{2} (x)

e x p an d 2 t (t^{2} - sin (x) + 1)

s im pl i f y (x - \frac{1}{2}) \cdot (x + \frac{1}{2})

s im pl i f y 3 6 - x - \frac{x + 10}{3 ( 6 - x ) ^{\frac{2}{3}}}