If ` a = sqrt(6) + sqrt(5) , b = sqrt(6) - sqrt(5)` then `2 a^(2) - 5 ab + 2b^(2) = `?

A

38

B

39

C

40

D

41

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

(sqrt(6)+sqrt(5)+ 1/(sqrt(6)+sqrt(5)))^2

(6) sqrt(5)x^(2)-2sqrt(2)x-2sqrt(5)=0

If a = (sqrt(3) - sqrt(2))/(sqrt(3) + sqrt(2)) and b = (sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2)) then value of sqrt(3a^2 - 5ab + 3b^2) is

If A=sqrt(8)+sqrt(5) and B=sqrt(8)-sqrt(5) ,then (A+B)^(2)+(A-B)^(2) is

If a=2+sqrt(3)+sqrt(5) and b=3+sqrt(3)-sqrt(5) , then a^(2)+b^(2)-4a-6b-3 is equal to

If a=(2-sqrt(5))/(2+sqrt(5)) and b=(2+sqrt(5))/(2-sqrt(5)), find a^(2)-b^(2)

If a=2-sqrt(5) and b=(2+sqrt(5))/(2-sqrt(5)) find a^(2)-b^(2)