Question

要手写过程..........

Answer 1

为书写简便起见，用符号“P”表示“根号下”，比如根号下2=P2,你在使用时，把这个代号换回去就行了
原题可表示为：
(P5+ kP3-2P2)/[(P5+P3)(P3-P2)=P5+P2
(P5+ kP3-2P2)=[(P5+P3)(P3-P2)]*(P5+P2)
=P5(P3-P2)(P5+P2)+P3(P3-P2)(P5+P2)
=P5[P3(P5+P2)-P2(P5+P2)] + P3[P3(P5+P2)-P2(P5+P2)]
=P5[P3P5+P3P2-P2P5-2] + P3[P3P5+P3P2-P2P5-2)]
=5P3+P5P3P2-5P2-2P5 + 3P5+3P2-P5P3P2-2P3
=5P3+P5P3P2-5P2-2P5 + 3P5+3P2-P5P3P2-2P3
=3P3-2P2+P5 即
P5+ kP3-2P2=3P3-2P2+P5
kP3=3P3-2P2+P5-P5+2P2
=3P3
k=3P3/P3
=3
记得把P换回成根号就对了，祝你进步！

Answer 2