[" (i) Expand ",[(1)/(4)a-(1)/(2)b+1]^(2)],[" (ii) "quad " sinplify ",3sqrt(27)-root(3)(216)+10.6sqrt(64)+sqrt(121)]

Simplify: 5sqrt(3)+2sqrt(27)+1/(sqrt(3))

Simplify : 5sqrt(3)+2sqrt(27)+1/sqrt(3)

(6 + sqrt(27) ) - ( 3 + sqrt3) + (1-2sqrt3)

Find the value log_(2sqrt(2))((1)/(64)),log_(6)sqrt(216)

Simplify: 5\sqrt{3} +2sqrt{27} +1/\sqrt{3}

sqrt(27)-(9)/(sqrt(3))-root(4)((1)/(9))+root(6)((1)/(27))

Rationalise the denominator of each of the following. (i) (1)/(sqrt(7)) (ii) (sqrt(5))/(2sqrt(3)) (iii) (1)/(2+ sqrt(3)) (1)/(sqrt(3)) (v) (1)/((5+3sqrt(2)) (vi) (1)/(sqrt(7) - sqrt(6)) (vi) (1)/(sqrt(7) - sqrt(6)) (viii) (1+ sqrt(2))/(2-sqrt(2)) (ix) (3-2sqrt(2))/(3+2sqrt(2))

Expand (a+b)^(6)-(a-b)^(6). Hence find the value of (sqrt(2)+1)^(6)-(sqrt(2)-1)^(6)