Determine the quadrant in which the point $(\sqrt{5}-3,\sqrt{5}-2)$ lies.

Let the point be $(x,y)$, where:
* $x=\sqrt{5}-3$
* $y=\sqrt{5}-2$

We know that $\sqrt{5}\approx 2.236$. Evaluating the signs of the coordinates:

* $x=2.236-3=-0.764$ (which is negative, $x<0$)
* $y=2.236-2=+0.236$ (which is positive, $y>0$)

In the coordinate plane, points with a negative $x$ -coordinate and a positive $y$ -coordinate lie strictly in the second quadrant.