Let $\overrightarrow{\mathrm{a}},\overrightarrow{\mathrm{b}}$ and $\overrightarrow{\mathrm{c}}$ be three vectors such that $\overrightarrow{\mathrm{a}}=\overrightarrow{\mathrm{b}}\times \left(\overrightarrow{\mathrm{b}}\times \overrightarrow{\mathrm{c}}\right).$ If magnitudes of the vectors $\overrightarrow{\mathrm{a}},\overrightarrow{\mathrm{b}}$ and $\overrightarrow{\mathrm{c}}$ $\sqrt{2},1$and 2 respectively and the angle between $\overrightarrow{\mathrm{b}}$ and $\overrightarrow{\mathrm{c}}$ is $\mathrm{\theta }\left(0<\mathrm{\theta }<\frac{\mathrm{\pi }}{2}\right)$ then the value of $1+\mathrm{tan\theta }$ is equal to: