=[(a+√ab)(a-√ab)+(√a b+b)(√a b-b)]/[(√a b+b)(a-√ab)]
=(a^2-ab+ab-b^2)/(ab+a√ab-b√ab-ab)
=(a-b)(a+b)/[√ab(a-b) ]
=(a+b)/(√ab)
=(2+√3+2-√3)/[(2+√3)(2-√3)]
=4/(4-3)
=4
√ 18÷√8×√27
=3√2÷2√2×3√3
=(9√3)/2
5√(8/27)×√(4/3)×3√54
= 15√(8/27*4/3*54)
= 15√( 192/9)
= 15*8/3√3
=40√3
√6/(3√2-2√3)
=[√6(3√2+2√3)]/[(3√2-2√3)(3√2+2√3)]
=(6√3+6√2)/( 18- 12)
=6(√3+√2)/6
=√3+√2