原式=lg²5+lg2*lg50+2^1*2^[(1/2)log2(5)
=lg²5+lg2*lg50+2*2^[log2(√5)
=lg²5+lg2*lg50+2*√5
=lg²5+lg(10/5)*(lg10*5)+2√5
=lg²5+(1-lg5)*(1+lg5)+2√5
=lg²5+1-lg²5+2√5
=1+2√5
原式=lg²5+lg2*lg50+2^1*2^[(1/2)log2(5)
=lg²5+lg2*lg50+2*2^[log2(√5)
=lg²5+lg2*lg50+2*√5
=lg²5+lg(10/5)*(lg10*5)+2√5
=lg²5+(1-lg5)*(1+lg5)+2√5
=lg²5+1-lg²5+2√5
=1+2√5