(iii) `(8+sqrt3)(2+sqrt3)`

sqrt3 xx sqrt3

Simplify: (i) (3sqrt(2)-2sqrt(2))/(3sqrt(2)+\ 2sqrt(3))+(sqrt(12))/(sqrt(3)-\ sqrt(2)) (ii) (sqrt(5)+\ sqrt(3))/(sqrt(5)-\ sqrt(3))+(sqrt(5)-\ sqrt(3))/(sqrt(5)+\ sqrt(3))

Rationalize the denominator: (2 + sqrt 3)/(2 - sqrt 3) + (2 - sqrt 3)/(2 + sqrt 3) + (sqrt 3 - 1)/(sqrt 3 + 1)

The numerical value of tan(pi/3)+2tan((2pi)/3)+4tan((4pi)/3)+8tan((8pi)/3) is equal to (A) -5sqrt(3) (B) -5/(sqrt3) (C) 5sqrt(3) (D) 5/(sqrt3)

Simplify the following expressions: (i) (11+sqrt(11))(11-sqrt(11)) (ii) (5+sqrt(7))(5-sqrt(7)) (iii) (sqrt(8)-sqrt(2))(sqrt(8)+sqrt(2)) (iv) (sqrt(7)-3)(sqrt(7)+3)

Find the value of m and n : if : ( 5+ 2sqrt3)/( 7+ 4sqrt3) = m + n sqrt3

Simplify : (3) / ( 5- sqrt3) + (2)/(5+ sqrt3)

Are (sqrt3)/(2) and (2sqrt3)/(3) reciprocals?

Simplify: (sqrt3/2)^2 -(sqrt3)^2+(sqrt 2)^2 +1/2

Rationalise the denominator of each the following (i)(2)/(sqrt(3))" "(ii)(1)/(3sqrt(5))" "(iii)(1)/(sqrt(8))" "(iv)(sqrt(2)+1)/(sqrt(3))