Question

If x=2+ root 5 by 2-root5 and y = 2-root 5 by 2+root 5 then show that x square-y square = 144 root 5

Answer 1

Answer:

make the equation

x+y=144√5

x=2+√5/2-√5 now after rationalisation it become (2+√5)^2/-1..........(1)

y=2-√5/2+√5 after rationalisation it become (2-√5)^2/-1..........(2)

Step-by-step explanation:

NOW put eq. (1) and eq. (2) equal to 144√5