化简 (2+sqrt(7))sqrt(11-4\sqrt{7)-(sqrt(20)+5)/(sqrt(5+2))}

解答

化简

(2 + 7) 11 - 47 - \frac{20 + 5}{5 + 2}

(2 + 7) \frac{11 7 - 33 - 2 5}{7}

求解步骤

(2 + 7) 11 - 47 - \frac{20 + 5}{5 + 2}

\frac{20 + 5}{5 + 2} = \frac{2 5 + 5}{7}

= (2 + 7) 11 - 47 - \frac{2 5 + 5}{7}

11 - 47 - \frac{2 5 + 5}{7} = \frac{11 7 - 33 - 2 5}{7}

= (2 + 7) \frac{11 7 - 33 - 2 5}{7}

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