Question

Plzzz help i need it urgently

Answer 1

Answer:

$x = 3 + 2 \sqrt{2} \\ \frac{1}{x} = \frac{1}{3 + 2 \sqrt{2} }$

$= \frac{ 3 - 2 \sqrt{2} }{9 - 8} \\ = 3 - 2 \sqrt{2}$

Now

$x + \frac{1}{x} \\ = 3 + 2 \sqrt{2} + 3 - 2 \sqrt{2} \\ = 3 + 3 \\ = 6$

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Answer 2

Answer:

d)6

Step-by-step explanation:

x = 3+2√2

x+1/x= 3+2√2 + 1/3+2√2

= (3+2√2)(3+2√2) + 1/ 3+2√2

= (3+2√2)^2 +1 / 3+2√2

= 9 + 12√2 + 8 +1 / 3+ 2√2

= 12√2 + 18 / 3+2√2

= (12√2+18)(3-2√2)/3+2√2

= 12√2(3-2√2) + 18(3-2√2)/ (3)^2 - (2√2)^2

= 36√2 - 48 + 54 - 36√2/ 9 - 8

= -48 + 54

= 6

option d. 6