" 11."x^(2)+3sqrt(3)x+6

Factorise x^(2)+3sqrt(3)x+6

sqrt(x sqrt(2^(x)x^(2)sqrt(3^(x^(3))x^(3)sqrt(6^(x^(6))x^(4)sqrt(9^(x^(10)))))))

Rationalise the denominator: (a) (1)/(root(3)(3) + root(3)(2)) , (b) (2)/(sqrt5 + sqrt3 + sqrt2) , (c) (x^(2))/(sqrt(x^(2) + y^(2)) - y) , (d) (1)/(sqrt6 + sqrt5 - sqrt11) (e) (sqrt(x + 2y) - sqrt(x -2y))/(sqrt(x + 2y) + sqrt(x - 2y)) , (f) (sqrt10 + sqrt5 - sqrt3)/(sqrt10 - sqrt5 + sqrt3)

Find x if (sqrt(3x +1) + sqrt(3x - 6))/(sqrt(3x + 1) - sqrt(3x - 6)) = 7

What is the number of non-zero terms in the expansion of (1+2 sqrt(3)x)^(11) + (1 - 2 sqrt(3)x)^(11) (after simplification)?

y= sqrt(3x) -sqrt((3)/(x))+ (x+6)/(6-x), then the vlaue of [(dy)/(dx)]_(x=3) is-

sqrt(3x^(2))+11x+6sqrt(3)

6sqrt(3)x^(2)-47x+5sqrt(3)

Solve each of the following quadratic equations: sqrt(3)x^(2)+11x+6sqrt(3)=0

Factorisation of the polynomial sqrt(3)x^(2)+11x+6sqrt(3)