2 over 3
2n/3
2/3
3/2 is already in simplest form since 3 and 2 have no common factors other than 1.
(sqrt(3)x-sqrt(3)y)(sqrt(3)x+sqrt(3)y)
Expressed as a surd in its simplest form, sqrt(25)/sqrt(3) is equal to 5 sqrt(3)/3.
Expressed as a surd in its simplest form, sqrt(234) = 3 sqrt(26).
sqrt(300) = sqrt(100*3) = sqrt(100)*sqrt(3) = 10*sqrt(3).
sqrt(432) = sqrt(144*3) = sqrt(144)*sqrt(3) = 12*sqrt(3)
sqrt(12) = sqrt(4*3) = sqrt(4)sqrt(3) = 2sqrt(3)
5 - 2*sqrt(3) is already in simplest radical form, note that if you said 5 - sqrt(12) is definitely simplified to 5 - 2*sqrt(3).
sqrt(27) = 3*sqrt(3)
sqrt(153) = sqrt(9*17) = 3*sqrt(17)
sqrt(99) = sqrt(9*11) = sqrt(9)*sqrt(11) = 3*sqrt(11)
sqrt(117) = sqrt(9*13) = sqrt(9)*sqrt(13) = 3*sqrt(13)
243 = 35 So sqrt(243) = sqrt(35) = sqrt(34*3) = sqrt(34)sqrt(3) = 32*sqrt(3) or 9*sqrt(3)
-3*sqrt(48) = -3*sqrt(16*3) = -3*sqrt(16)*sqrt(3) = -3*4*sqrt(3) = -12*sqrt(3)