" (ii) "quad 8sqrt(3)-5sqrt(3)

Factorize each of the following expressions : (i) 4sqrt(3)x^2+5x-2sqrt(3) , (ii) 5sqrt(5)x^2+30 x+8sqrt(5)

An ellipse (x^2)/(a^2)+(y^2)/(b^2)=1(a > b) passes through the point (-3,1) and its eccentricity is sqrt(2/5) . Then length of latus rectum is 8/5sqrt(6) (2) 9/5sqrt(6) (3) 8/3sqrt(6) 8/5sqrt(3) (5) 9/5sqrt(3)

Simplify: 5sqrt(3)+8sqrt(3)

Simplify : 5 sqrt(3)+8sqrt(3)

Simplify (i) (4+ sqrt(5))/(4-sqrt(5))+(4-sqrt(5))/(4+sqrt(5)) (ii) (1)/(sqrt(3) + sqrt(2)) - (2)/(sqrt(5)-sqrt(3)) -(2)/(sqrt(2) - sqrt(5)) (iii) (2+sqrt(3))/(2-sqrt(3)) + (2-sqrt(3))/(2+sqrt(3)) + (sqrt(3)-1)/(sqrt(3)+1) (iv) (2+sqrt(6))/(sqrt(2)+sqrt(3))+(6sqrt(2))/(sqrt(6)+sqrt(3)) -(8sqrt(3))/(sqrt(6)+sqrt(2))

Write in ascending order : (i) 3sqrt(5) and 4sqrt(3) (ii) 2root(3)(5) and 3root(3)(2) (iii) 6sqrt(5), 7sqrt(3) and 8sqrt(2)

If x=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)) and y=(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)), then (x+y) equals (a) 2(sqrt(5)+sqrt(3))( b) 2sqrt(15)(c)8 (d) 16

(i) 3sqrt(5) by 2sqrt(5) ,(ii) 6sqrt(15) by 4sqrt(3) , (iii) 2sqrt(6) by 3sqrt(3) (iv) 3sqrt(8) by 3sqrt(2) ,(v) sqrt(10) by sqrt(40) , (vi) 3sqrt(28) by 2sqrt(7)

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)

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