化简根式：（1）√(8*11^2)=11*2√2=22√2.
(2)√[(64/9)*(144/169]=√[(8/3)^2*(12/13)^2]
=(8/3)(12/13).
=8*3/13.
=24/13.
(3) √[(101)^2-20^2]=√[(101+20)(101-20)].
=√(121*81).
=√121)*√81.
=11*9.
=99.
(4)√(36^2+48^2)=√(1296+2304).
=√3600.
=√[(60)^2].
=60.
(5)√[(-9)*(-8)*50]=√(72*50).
=√(36*2*2*25).
=6*2*5..
=30*2.
=60.
(6) 原式=√[(-4)*(-121)*(25/9)]
=√[(4×121×(25/9)].
=2*11*(5/3).
=110/3.
