Math, asked by prachithegreat25, 7 hours ago

If x=3+2√2 , them find x+1/x​

Answers

Answered by classprep
4

Answer:

6 is the right answer bro

Answered by chirag9090singh9090
2

\huge\purple{ANSWER:}

x = 3 + 2 \sqrt{2}

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

 = 3 + 2 \sqrt{2}  +  \frac{1 \times (3 - 2 \sqrt{2}) }{(3 + 2 \sqrt{2} )(3 - 2 \sqrt{2} )}  \\

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

 = 3 + 2 \sqrt{2}  +  \frac{3 - 2 \sqrt{2} }{1}  \\

 = 3 + 2 \sqrt{2}  + 3 - 2 \sqrt{2}

 = (3 + 3) + (2 \sqrt{2}  - 2 \sqrt{2} )

 = 6

AND THAT'S OUR ANSWER!!

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