Question

【根号3＋根号2】的2log【根号3-根号2】根号5

Answer 1

(根号3＋根号2＝1/（根号3－根号2）＝（根号3－根号2）^(-1)

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

Answer 2

=(√3+√2)的log(√3-√2) 5
=(√3-√2)的log(√3-√2) 5的(-1)次方
=1/5

说明：√3+√2=(√3-√2)的-1次方