Question

if x =3+√8 then find x⁴+1/x⁴​

Answer 1

Answer:

X^4+1/X^4 =389182 + 278400√2/2401

Step-by-step explanation:

X=3+√2

1/x=1/3+√2 = 3-√2/3^2-√2^2 =3-√2/7…..( in rationalized form)

Therefore x^2+1/x^2 =(x+1/x)^2 - 2.x.1/x…..(a^2+b^2=(a+b)^2–2ab)