Question

If x = 3+2√2 find x+1/x. *​

Answer 1

Answer:

6

Step-by-step explanation:

To find: 1 + 1/x

x = 3+ 2√2

1/x = 1/(3+ 2√2)

1/x = 1 x (3 - 2√2)/(3+ 2√2)(3- 2√2)  [Multiplying and dividing by 3 -  2√2]

1/x = (3- 2√2)/9-8

1/x = 3- 2√2

x+1/x = 3+ 2√2 + 3- 2√2

=> 6