(√27-√24+2√12)÷2√3
=(3√3-2√6+4√3)/(2√3)
=(7√3-2√6)/(2√3)
=3.5-2√2
(2√2-1)(2√2+1)
=4*2-1
=7
(2√x+√y)(√4x-√y)
=4x-y
(3√2+2√3)(3√2-2√3)
=9*2-4*3
=6
(3-√3)(1+1/√3)
=(√3-1)(√3+1)
=3-1
=2
(3√5-1)²-(4√3)²
=9*5-6√5+1-16*3
=-2-6√5
(1+√2)²(1-√2)²
=[(1+√2)(1-√2)]^2
=(1-2)^2
=1