Question

if x=3+2root2,then find the value of x square +1 upon x square

Answer 1

x=3+2root2

x^2=17+12root2

1 upon x^2 = 17-12root2

x^2+1 upon x^2 = 18+12root2

Answer 2

X=3+2√2,

Then, Rationalise the denominator to find 1/x.

1/x= 1/3+2√2 x 3-2√2/3-2√2 = 3-2√2/9-8 = 3-2√2/1 or 3-2√2

Now,

(x+1/x)² = (3+2√2+3-2√2)²

x²+1/x²+2.x.1/x=(6)²

x²+1/x²=36-2

x²+1/x²=34

BE BRAINLY