Question

If a=root2+1/root2-1 and b=root2-1/root2+1 then find the value of (a-b)² -2a ​

Answer 1

Answer:

34

Step-by-step explanation:

a=root 2+1/root 2-1 root 2+1/root 2-1-(root 2+1)^2

b=root 2-1/root 2+1 root 2-1/root 2-1-(root 2-1)^2

a^2+b^2=((root 2 +1)^2)^2 + ((root 2+1)^2)^2 =(2+1+2 root 2)^2 + (2+1-2 root 2)^2

=(3+2 root 2)^2 + (3-2 root 2)^2

=9+8 +12*root 2 +9+8 -12*root 2

=34