Question

If x =3+2 root 2 find x + 1/x

Answer 1

Step-by-step explanation:

x=3+√2

x+1/x = 3+2√2 + 1/3+2√2

rationalize:-

1/3+2√2 × 3-2√2/3-2√2 =

3-2√2/9-8 = 3-2√2

3+2√2 + 3-2√2

=6

Answer 2

Answer:

6

Step-by-step explanation:

Rationalize

$\frac{1}{3 + 2 \sqrt{2} }$

$\frac{1}{3 + 2 \sqrt{2} } \times \frac{3 - 2 \sqrt{2} }{3 - 2 \sqrt{2} }$

Multiply and solve the denominator and it will result in 1

$\frac{3 - 2 \sqrt{2} }{(3^{2} - (2 \sqrt{2})^{2} ) }$

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

$6$