1.(√ 18-2√ 2)-(2√ 3-2)(3√ 6+√ 2)+√ 6/(1√ 3+1/√ 2)
=(3√2-2√ 2)-(18√ 2+2√ 6-6√ 6-2√ 2)+6√ 3-6√2
=√ 2-16√ 2+4√ 6+6√3-6√2
=-21√ 2+4√ 6+6√ 3
2.原式=(√ a-√ b)/√ a+√ b)+[1/(√ a+√ b)-1/(√ b-√ a)]*√ b
=(√ a-√ b)/√ a+√ b)+√ b/(√ a+√ b)-√ b/(√ b-√ a)
=√ a/(√ a+√ b)+√ b/(√ a-√ b)
=(a+b)/(a-b)
=(√ 2+2)/(√ 2-2)
=-3-2√ 2
1.(根号18-2倍的根号2)-(2倍的根号3-2)(3倍的根号6+根号2)+根号6÷(1/根号3+1/根号2)
=根号2-(18倍的根号2-6倍的根号6+2倍的根号6-2倍的根号2)+3倍的根号2+2倍的根号3
=4倍的根号6+2倍的根号3-12倍的根号2
2.根号a-根号b/根号a+根号b+(根号a/a+根号ab-根号b/b-根号ab)÷1/根号b,其中a=根号2,b=2.
=(a+b-2根号a根号b)÷(a-b)+(b根号a-a根号b-a根号b-b根号a)÷[(a+根号ab)(b-根号ab)]÷1/根号b
=(a+b-2根号a根号b)÷(a-b)-2a根号b÷(b根号ab-a根号ab)÷1/根号b
=(a+b-2根号a根号b)÷(a-b)-2根号a根号b÷(b-a)
=(a+b)÷(a-b)
=(根号2+2)÷(根号2-2)
=-3+2倍的根号2