化简 (2(2sqrt(3)+3))/3

解答

化简

\frac{2 ( 2 3 + 3 )}{3}

\frac{2 ( 2 + 3 )}{3}

十进制

4.30940 \dots

求解步骤

\frac{2 ( 2 3 + 3 )}{3}

因式分解出通项

3 : 3 (2 + 3)

= \frac{2 3 ( 2 + 3 )}{3}

使用根式运算法则:

a = a a

3 = 33

= \frac{2 3 ( 2 + 3 )}{3 3}

约分:

3

= \frac{2 ( 2 + 3 )}{3}

e x p an d \frac{y ^{\frac{1}{3}}}{( y ^{\frac{4}{3}} - 9 ) ^{2}}

e x p an d \frac{aj + x}{( aj + c ) ( aj + b )}

e x p an d 3 sec (x) tan^{2} (x) + 3 (- sec (x) + 2 sec^{3} (x))

e x p an d (1 - \frac{z}{c})^{2}

e x p an d cot (θ) + cos (θ) (tan (θ) - tan (\frac{θ}{2}))