`(2+sqrt3)/2 + (5-sqrt3)/3`

3(2 + sqrt3)(2 - sqrt3)

Which of the following are rational or irrational no ;- (2+sqrt3)^2 , (5-sqrt3)^2

If a=(2+ sqrt3)/(2- sqrt3) and b=(2- sqrt3)/(2+sqrt3) , then the value of a^2+b^2+ab is: यदि a=(2+ sqrt3)/(2- sqrt3) और b=(2- sqrt3)/(2+sqrt3) , तो a^2+b^2+ab का मान:

If a = (2 + sqrt3)/(2-sqrt3) and b = (2-sqrt3)/(2+sqrt3) then the value of (a^2+b^2+ab) is

If a = (2 + sqrt3)/(2 - sqrt3) and b = (2 - sqrt3)/(2 + sqrt3) , then the value of (a^(2) + b^(2) +ab) is :

(3 + sqrt3)(2 + sqrt5)

Find the value of a and b if (i)(sqrt(3)+1)/(sqrt(3)-1)=a+bsqrt(3)" "(ii)(5+2sqrt(3))/(5-2sqrt(3))=a+bsqrt(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))

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 cubic equation whose roots are tanA, tanB, tanC is (A) x^3-(3+2sqrt(3))x^2+(5+4sqrt(3))x-(3+2sqrt(3))=0 (B) x^3-(3+-2sqrt(3))x^2+(5+4sqrt(3))x+(3+2sqrt(3))=0 (C) x^3+(3+2sqrt(3))x^2+(5+4sqrt(3))x+(3+2sqrt(3))=0 (D) x^3-(3+2sqrt(3))x^2+(5+4sqrt(3))x+(3+2sqrt(3))=0