Question

if x=3+2√2 then find the value of x+1/x​

Answer 1

Answer:

Given x=3-2√2

x+1/x=3-2√2+1/(3-2√2)

⇒3-2√2+1/(3-2√2)×(3+2√2)/(3+2√2)

⇒3-2√2+(3+2√2)/[(3)²-(2√2)²]

⇒3-2√2+(3+2√2)/(9-8)

⇒3-2√2+(3+2√2)/1

⇒3-2√2+3+2√2

⇒6.

∴x+1/x=6

Step-by-step explanation:

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Answer 2

1st step fraction of 3+2√2 +1/3 +2√2

2nd step apply formula (a+b)(a+b)= a²+2ab+b²

then solve it as given