Question

if x= √5+√3/√5-√3 and y =√5-√3/√5+√3 then what will be x^4 -xy+y^4​

Answer 1

Answer:

Step-by-step explanation:

rationalizing 'x',we get x=4-(15)^1/2

rationalizing 'y',we get y=4+(15)^1/2

x^2+y^2=[4-(15)^1/2]^2+[4+(15)^1/2]^2

x^2+y^2=2[(4)^2+(15)^1/2^2] {(a+b)^2+(a-b)^2=2(a^2+b^2)}

x^2+y^2=2(16+15)

x^2+y^2=2(31)

x^2+y^2=62