Question

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

Answer 1

Answer:

1/x+x=6

Step-by-step explanation:

x=3-2√2

$\frac{1}{x}=\frac{1}{3-2\sqrt{2} } \\=\frac{1}{3-2\sqrt{2} } * \frac{3-2\sqrt{2} }{3+2\sqrt{2} }\\=\frac{3+2\sqrt{2} }{9-8}\\=3+2\sqrt{2}$

1/x+x=3+2√2+3-2√2

1/x+x =6