. If x = 3 + 2 √2, then find the value of (x + 1/x)​

Question

. If x = 3 + 2 √2, then find the value of (x + 1/x)​

in progress 0
Harper 2 months 2021-11-23T03:23:46+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-23T03:25:16+00:00

    Answer:

    givenx=3+22x1=3+221=>x1=(3+22)1×(3−22)(3−22)=>x1=9−83−22x1=3−22nowx+x1=3+22+3−22=6

    Step-by-step explanation:

    mark brainliest

    0
    2021-11-23T03:25:30+00:00

    Answer:

    6

    Step-by-step explanation:

     \text{given} \quad x = 3 + 2 \sqrt{2}  \\  \\  \frac{1}{x}  =  \frac{1}{3 + 2 \sqrt{2} }  \\  \\   =  > \frac{1}{x}  =  \frac{1}{(3 + 2 \sqrt{2} )}  \times  \frac{(3 - 2 \sqrt{2}) }{(3 - 2 \sqrt{2}) }  \\  \\  =  >  \frac{1}{x}  =  \frac{3 - 2 \sqrt{2} }{9 - 8}  \\  \\  \frac{1}{x}  = 3 - 2 \sqrt{2}  \\  \\ now \\  \\ x +  \frac{1}{x}  \\  \\  = 3 + 2 \sqrt{2}  + 3 - 2 \sqrt{2}  \\  \\  = 6

    HOPE IT HELPS

Leave an answer

Browse

14:4+1-6*5-7*14:3+5 = ? ( )