Using the Bisection method, find the root of the equation f$($x$)=$ x$^2-2$ in the interval $[1,2].$ What is the root?

Select one:

a$.3\mathrm{.}414$

b$.1\mathrm{.}414$

c$.4\mathrm{.}414$

d$.2\mathrm{.}414$