Use linear approximation, i$.$e$.$ the tangent line, to approximate $3$sqrt$1\mathrm{.}2$ as follows:

Let f$($x$)=3$sqrtx$.$ The equation of the tangent line to f$($X$)$ at x$=1$ at can be written in the form

where is: $$

and where is: $$

Using this, we find our approximation for is