The correct option is D 2⋅12√32
IrrationalMultiplication:3√4×4√8=3√4×4√4×2=3√4×4√4×4√2=413+14×4√2=4712×4√24712×4√2=(22)712×4√2=(2)76×214=(2)76+14=21712=12√217=12√212×25=2.12√32Note:Resultofirrationalmultiplicationmayormaynotbeirrational.Inthiscaseitisirrational.Butconsider:√5×√5=√5×5=512+12=51=5(Notirrational)