Question

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

Answer 1

Step-by-step explanation:

1/(3+2sqrt2)=x

1/x = 3+2sqrt2

3- 2sqrt2 1

_______ × ________

3-2sqrt2 3+2sqrt2

3-2sqrt2

_________

3²-(2sqrt2)²

3-2sqrt2

_______ = 3-2sqrt2 =x

9-8

x-1/x = 3-2sqrt2-3-2sqrt2 =-4sqrt2