On simplification the value of 1 - 11 + 2 + 11 - 2 is = ?

Answer: Option B

  $$\text{1}-\frac{1}{1+\sqrt{2}}\text{ + }\frac{1}{1-\sqrt{2}}$$
  $$=1-\frac{\left(\sqrt{2}-1\right)}{\left(\sqrt{2}+1\right)\left(\sqrt{2}-1\right)}-$$     $$\frac{\left(\sqrt{2}+1\right)}{\left(\sqrt{2}-1\right)\left(\sqrt{2}+1\right)}$$
$$\begin{array}{rl}& =1-\sqrt{2}+1-\sqrt{2}-1\\ & =1-2\sqrt{2}\end{array}$$