化简 2sqrt(24/25)+4sqrt(72/27)-2sqrt(16/72)

解答

化简

2 \frac{24}{25} + 4 \frac{72}{27} - 2 \frac{16}{72}

\frac{4 6}{5} + \frac{8 2}{3} - \frac{2 2}{3}

十进制

7.54875 \dots

求解步骤

2 \frac{24}{25} + 4 \frac{72}{27} - 2 \frac{16}{72}

\frac{24}{25} = \frac{2 6}{5}

\frac{72}{27} = \frac{2 2}{3}

\frac{16}{72} = \frac{2}{3}

= 2 \cdot \frac{2 6}{5} + 4 \cdot \frac{2 2}{3} - 2 \cdot \frac{2}{3}

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

4 \cdot \frac{2 2}{3} = \frac{8 2}{3}

2 \cdot \frac{2}{3} = \frac{2 2}{3}

= \frac{4 6}{5} + \frac{8 2}{3} - \frac{2 2}{3}

s im pl i f y 2 (\frac{1}{3})^{0 - 1} + 4

e x p an d (t^{\frac{3}{2}} - t^{\frac{1}{2}})^{2}

x^{2} + 6 = 10

f a c t or (x - 3 i) (3 x + 5 i) - (3 x + 5 i) (x + 2 i)

2 x^{2} + 3 x = 7