（根号3+根号2）^2log(根号下3-根号下2）^根号5=跪谢额```

Question

（根号3+根号2）^2log(根号下3-根号下2）^根号5= 跪谢额```

Answer 1

(√3+√2)^[2log(√3-√2)(√5)]
=(√3-√2)^[log(√3-√2)(1/5)]
=1/5

√3+√2=(√3-√2)^(-1)
2log(√3-√2)(√5)=log(√3-√2)(5)
则原式=(√3-√2)^[-log(√3-√2)(5)]=(√3-√2)^[log(√3-√2)(1/5)=1/5
这里用到了公式a^[loga(x)]=x