Question

if x = 3+2√2 , then find the value of x²+ 1/x²​

Answer 1

Answer:

34

Step-by-step explanation:

If x = 3 +2√2,

then 1/x = 1/(3+2√2) =(3–2√2),

because 3^2 -(2√2)^2 =9–8=1.

Hence x^2 +(1/x^2) = [x+(1/x)]^2 -2 = 6^2 -2 =36 -2 = 34