Question

If x = (2+root 5) 1/2
+(2-root 5) 1/2 and y
(2+root 5)1/2- (2-root 5) 1/2 evaluate
x2+ y²​

Answer 1

Answer:

super question I don't know the answer

Answer 2

x = √(2 + √5) + √(2 - √5) x2

 = 2 + √5 + 2 - √5 + 2√(2+√5)(2-√5)

= 4 + 2√(2+√5)(2-√5) y

= √(2+√5) - √(2-√5) y2 

= 2+√5 + 2-√5 - 2√(2+√5)(2-√5)

= 4-2√(2+√5)(2-√5) x2 - y2

 = 4√(2+√5)(2-√5)