(根号2-1)乘以(根号3-1)-1除以(根号2-1)+2除以(根号3-1)等于多少
问题描述:
(根号2-1)乘以(根号3-1)-1除以(根号2-1)+2除以(根号3-1)等于多少
答
(根号2-1)乘以(根号3-1)-1除以(根号2-1)+2除以(根号3-1)
=(√2-1)(√3-1)-1/(√2+1)+2/(√3-1)
=(√2-1)(√3-1)-(√2-1)/[(√2+1)(√2-1)]+2(√3+1)/[(√3-1)(√3+1)]
=(√2-1)(√3-1)-(√2-1)+(√3+1)
=(√2-1)(√3-1-1)+(√3+1)
=(√2-1)(√3-2)+(√3+1)
=√6-2√2-√3+2+√3+1
=√6-2√2+3