" (iii) "(sqrt(3)-1)/(sqrt(3)+1)=alpha+b sqrt(3)

12.Rationalise and find the value of' "a'" and "'b'" ; (i) "(sqrt(3)-1)/(sqrt(3)+1)=a+b sqrt(3), (ii) (sqrt(5)-2)/(sqrt(5)+2)=a+b sqrt(5)

Find the value of a and b if (sqrt(3)-1)/(sqrt(3)+1)=a+b sqrt(3)

If both a and b are rational numbers,find the values of a and b in each of the following equalities :(sqrt(3)-1)/(sqrt(3)+1)=a+b sqrt(3)( ii) (3+sqrt(7))/(3-sqrt(7))=a+b sqrt(7)(5+2sqrt(3))/(7+4sqrt(3))=a+b sqrt(3)( iv) (5+sqrt(3))/(7-sqrt(3))=47a+sqrt(3)b(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))=a+b sqrt(15) (iv) (sqrt(2)+sqrt(3))/(3sqrt(2)-2sqrt(3))=1-b sqrt(3)

simplify the expression and find a and b (sqrt(3)+1)/(sqrt(3)-1)=a+b sqrt(3)

In each of the following determine rational number a and b:(sqrt(3)-1)/(sqrt(3)+1)=a-b sqrt(3)( ii) (4+sqrt(2))/(2+sqrt(2))=a-sqrt(b)

If a=(sqrt(3)+1)/(sqrt(3)-1) and b=(sqrt(3)-1)/(sqrt(3)+1) ,find the value of a^(2)+ab-b^(2)

Find the direction cosines of the line which is perpendicular to the lines with direction ratios 4, 1, 3 and 2, -3, 1 . a) (1)/(sqrt(3)),(1)/(5sqrt(3)),(-7)/(5sqrt(3)) b) (5)/(sqrt(3)),(1)/(sqrt(3)),(7)/(5) c) (2)/(sqrt(3)),(5)/(2sqrt(3)),(1)/(7sqrt(3)) d) (1)/(sqrt(3)),(2)/(sqrt(3)),(-1)/(sqrt(3))

If A,B,C are the angles of a given triangle ABC . If cosA.cosB.cosC= (sqrt3-1)/8 and sinA.sinB.sinC= (3+sqrt3)/8 The value of tanA+tanB+tanC is (A) (3+sqrt(3)/(sqrt(3)-1)) (B) (sqrt(3)+4/(sqrt(3)-1)) (C) (6-sqrt(3)/(sqrt(3)-1)) (D) (sqrt(3)+sqrt(2)/(sqrt(3)-1))