sqrt(2+3sqrt(-5))+sqrt(2-3sqrt(-5))

find sqrt((2+3)sqrt(-5))+sqrt((2-3)sqrt(-5))

Simplify: (2sqrt(3)+sqrt(5))(2sqrt(3)-sqrt(5))

Check whether (2sqrt(3)+sqrt(5))*(2sqrt(3)-sqrt(5)) is rational or irrotational? Justify your answer

4 sin 27^(0)= 1) sqrt(5+sqrt(5))+sqrt(3-sqrt(5)) 2) sqrt(5-sqrt(5))+sqrt(3+sqrt(5) 3) sqrt(5+sqrt(5))-sqrt(3-sqrt(5)) 4) sqrt(5+sqrt(5))+sqrt(3+sqrt(5)

(sqrt(3)-sqrt(5))(sqrt(3)+sqrt(5))/(sqrt(7)-2sqrt(5))

(sqrt(5)-2)(sqrt(3)-sqrt(5))

The greatest value of the modulus of the complex number ' z ' satisfying the equality |z+1/z|=1 is: (-1+sqrt(5))/2 (b) sqrt((3+sqrt(5))/2) sqrt((3-sqrt(5))/2) (d) (sqrt(5)+1)/2

(sqrt(5)+sqrt(3))((3sqrt(3))/(sqrt(5)+sqrt(2))-sqrt(5)/(sqrt(3)+sqrt(2))) is equal to :

(2)/(sqrt(3)+sqrt(5))+(5)/(sqrt(3)-sqrt(5))=x sqrt(3)+y sqrt(5)

Simplify each of the following by rationalising the denominator,(1)/(5+sqrt(2)) (ii) (5+sqrt(6))/(5-sqrt(6)) (iii) (7+3sqrt(5))/(7-3sqrt(5)) (iv) (2sqrt(3)-sqrt(5))/(2sqrt(2)+3sqrt(3))