a+√2b+√3c=√(5+2√6)求2a+999b+1001c

问题描述:

a+√2b+√3c=√(5+2√6)求2a+999b+1001c

√(5+2√6)=√(3+2√6+2)=√(√3+√2)^2=√3+√2
所以:
a=0
b=c=1
2a+999b+1001c
=999+1001=2000