Question

If x=3+2√2, then the value of x+1/x

Answer 1

Answer:

Step-by-step explanation:

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Given x = 3+2√2

x +1/x

= 3+2√2 + 1 / 3+2√2

= 3+2√2 + 3-2√2 / 3+2√2(3-2√2)

= 3+2√2 + 3-2√2 / 3² - (2√2)²

= 3+2√2 + 3-2√2/9-8

= 3+2√2 + 3-2√2

= 6 Which can be written in p/q forrm. (6/1)

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Answer 2

Answer:

6

Step-by-step explanation:

x+1/X = x²+1/X

x²+1/X = 18+12√2/3+2√2

= 6(3+2√2)/3+2√2

= 6