Question

if x=3+2√2, find 1/x​

Answer 1

Step-by-step explanation:

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