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" (i) "(2+sqrt(5))/(2),(2-sqrt(5))/(2)...

" (i) "(2+sqrt(5))/(2),(2-sqrt(5))/(2)

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Find a quadratic polynomial whose zero are (2+sqrt(5))/(2) and (2-sqrt(5))/(2)

(2 + sqrt5)/(2 - sqrt5)

State, whether the following numbers are rational or not : (i) (2+sqrt(2))^(2)" (ii) "(5+sqrt(5))(5-sqrt(5)) (iii) (sqrt(7)/(5sqrt(2)))^(2)

The domain of f(x)=sin^(-1)[2x^(2)-3], where [.] denotes the greatest integer function,is (-sqrt((3)/(2)),sqrt((3)/(2)))uu(-sqrt((5)/(2)),sqrt((5)/(2)))(-sqrt((3)/(2)),-1)uu(-sqrt((5)/(2)),-1)uu(1,sqrt((5)/(2)))(-sqrt((5)/(2)),sqrt((5)/(2)))(-sqrt((5)/(2)),-1)uu(1,sqrt((5)/(2)))

Simplify each of the following : (i) 3/(5-sqrt(3))+2/(5+sqrt(3)) (ii) (4+sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5)) (iii) (sqrt(5)-2)/(sqrt(5)+2)-(sqrt(5)+2)/(sqrt(5)-2)

Simplify each of the following : (3)/(5-sqrt(3))+(2)/(5+sqrt(3)) (ii) (4+sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5))(sqrt(5)-2)/(sqrt(5)+2)-(sqrt(5)+2)/(sqrt(5)-2)

(((3+sqrt(5))/2)^2+1+((3-sqrt(5))/2)^2)/(((3+sqrt(5))/2)^2-1+((3-sqrt(5))/2)^2)

[ If N=(sqrt(sqrt(5)+2)+sqrt(sqrt(5)-2))/(sqrt(sqrt(5)+1))-sqrt(3-2sqrt(2)) then N equals [ (A) 1, (B) 2sqrt(2)-1 (C) (sqrt(5))/(2), (D) (2)/(sqrt(sqrt(5)+1))]]

f(x)=cos^(-1)(x-x^2)+sqrt(1-1/(|x|))+1/[[x^2-1]) then domain of f(x) is (where [x] is G.I.F.) [sqrt(2),(1+sqrt(5))/2] (2) (-sqrt(2),(1-sqrt(5))/2] (sqrt(2),(1+sqrt(5))/2] (4) (1,2)

f(x)=cos^(-1)(x-x^2)+sqrt(1-1/(|x|))+1/[[x^2-1]) then domain of f(x) is (where [x] is G.I.F.) [sqrt(2),(1+sqrt(5))/2] (2) (-sqrt(2),(1-sqrt(5))/2] (sqrt(2),(1+sqrt(5))/2] (4) (1,2)