If P = (√7 - √6)/(√7 + √6), then what is the value of P + (1/P)?

Given : $$P=\frac{\sqrt7-\sqrt6}{\sqrt7+\sqrt6}$$ ---------------(i)

=> $$\frac{1}{P}=\frac{\sqrt7+\sqrt6}{\sqrt7-\sqrt6}$$ ----------(ii)

Adding equations (i) and (ii),

=> $$P+\frac{1}{P}=(\frac{\sqrt7-\sqrt6}{\sqrt7+\sqrt6})+(\frac{\sqrt7+\sqrt6}{\sqrt7-\sqrt6})$$

= $$\frac{(\sqrt7-\sqrt6)^2+(\sqrt7+\sqrt6)^2}{(\sqrt7+\sqrt6)(\sqrt7-\sqrt6)}$$

= $$\frac{(13-2\sqrt{42})+(13+2\sqrt{42})}{7-6}$$

= $$13+13=26$$

=> Ans - (D)