Question

(2+√5/2-√5)=x and (2-√5/2+√5)=y what is x²-y²​

Answer 1

Answer:

- 144√5 is the answer.

Step-by-step explanation:

x = 2-√5/2+√5

on rationalization

x = (4 + 5 – 4 √5) / – 1

x = 4 √5 – 9

Now similarly y = – 4 √5 – 9

Now question is asked for x^2 – y^2

= (x+y) * (x – y)

= – 18 * 8 √5

= – 144√5