问题标题:
请教一道二次根式的数学题!√3-√2+1/√2+1-2/√3+1(3-√7/2)^2+√7+3/√7-3√3/(5-√7)-(2√3-5√7)^2(2√3-2)(√6+√2)+(3√3+5)/(3√3-5)
问题描述:

请教一道二次根式的数学题!

√3-√2+1/√2+1-2/√3+1

(3-√7/2)^2+√7+3/√7-3

√3/(5-√7)-(2√3-5√7)^2

(2√3-2)(√6+√2)+(3√3+5)/(3√3-5)

韩保忠回答:
  √3-√2+1/(√2+1)-2/(√3+1)   =√3-√2+(√2-1)/(√2+1)(√2-1)-2(√3-1)/(√3+1)(√3-1)   =√3-√2+√2-1-(√3-1)   =0   [(3-√7)/2]^2+(√7+3)/(√7-3)   =[(3-√7)/2]^2+(√7+3)(√7+3)/(√7-3)(√7+3)   =(3-√7)^2/4+(√7+3)^2/4   =(16-6√7)/4+(16+6√7)/4   =(16+16)/4   =8   √3/(5-√7)-(2√3-5√7)^2   =√3(5+√7)/(5-√7)(5+√7)-(2√3-5√7)^2   =(5√3+√21)/18-(187-20√21)   =5√3/18+36√21/18+187   (2√3-2)(√6+√2)+(3√3+5)/(3√3-5)   =2(√3-1)*√2(√3+1)+(3√3+5)^2/2   =4√2+26+15√3   =15√3+4√2+26
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