thrown off by radical please help

center (0,0) vertex (-3radical 5,0) focus(0,-3) label vertices, co vertices, foci

roots are numbers too ...

a = 3√5
c = 3
since a > c, you must have an ellipse. so
b^2 = a^2-c^2 = 45-9 = 36
The foci are on the x-axis, so
x^2/45 + y^2/36 = 1