已知x=3/(√7)-2,a是x的整数部分,b是x的小数部分,求a-b/a+b

已知x=3/(√7)-2,
x=3(√7+2)/(√7+2)(√7-2);
x=3(√7+2)/3
=√7+2;
a是x的整数部分,b是x的小数部分,
a=4;
b=√7+2-4=√7-2;
求a-b/a+b
=(4-(√7-2))/(4+√7-2)
=(6-√7)/(2+√7)
=(6-√7)(√7-2)/(7-4)
=(6√7-12-7+2√7)/3
=8√7/3-19/3;
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