[" I27-1,Propiant otising at "],[[" (i) "(3+sqrt(3))(2+sqrt(2))," (11) "(3+sqrt(3))(3-sqrt(3))]]

Which of the following is equivalent to (10-sqrt(-12))/(1-sqrt(-27)) ? (Note: i=sqrt(-1) )

Calculate : (i) (logsqrt(27)+log8-logsqrt(1000))/(log 1.2)

((27)/(8))^((1)/(3))

root(3)(1/27) =___

Evaluate : (27)^(-(1)/(3)).(27)^(-(1)/(3))[(27)^((1)/(3))-(27)^((2)/(3))]

Factorise : (i) 125a^(3)+(1)/(8) " " (ii) 8a^(3)-27b^(3)

Factorise : (i) 125a^(3)+(1)/(8) " " (ii) 8a^(3)-27b^(3)

Simplify 27^((1)/(3))[27^((1)/(3))-27^((2)/(3))]

Find the sum to infinity of the following G.P. (i) 1, (1)/(3) , (1)/(9) . (1)/(27),… (ii) 2 , (-2)/(3) , (2)/(9) , (-2)/(27),… .

Faactorise (i) 27a ^(3) + 64 b ^(3)